Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
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Textbook Question
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Chapter 7.3, Problem 4AYU

Find the real solutions of x 2 x 1 = 0 .

Expert Solution & Answer
Check Mark
To determine

To find: A Quadratic equation x 2   x  1 and get its real solutions.

Answer to Problem 4AYU

The solution set = { 1 + ( 5 )/2, 1  ( 5 )/2 } .

Explanation of Solution

Given:

A Quadratic equation x 2   x  1 = 0 .

Formula used:

x = b ± ( b 2   4ac )/2a

Calculation:

There are various methods to solving a quadratic equation.

  1. By factoring.
  2. By using square root method.
  3. By completing the square.
  4. Using quadratic formula.

To find real solutions of Quadratic equation x 2   x  1 = 0 by factoring method.

Quadratic equation x 2   x  1 = 0 is in the standard form. The general equation of Quadratic equation = a x 2  + bx + c = 0 .

Comparing x 2   x  1 = 0 and a x 2  + bx + c = 0 we get,

a = 1 , b = 1 and c = 1 .

Checking for discriminant,

b 2   4ac =  ( 1 ) 2   4 × 1 × ( 1 ) = 1 + 4 = 5 > 0

Therefore the solution will have 2 real solutions as degree of quadratic equation is 2 and discriminant is positive.

Using the formula,

x = b ± ( b 2   4ac )/2a

x = ( 1 ) ± ( ( 1 ) 2   4×1×( 1 ) )/2×1

x = 1 ± ( 1 + 4 )/2

x = 1 ± ( 5 )/2

x = 1 + ( 5 )/2 or x = 1  ( 5 )/2

Therefore, the solution set = { 1 + ( 5 )/2, 1  ( 5 )/2 } .

Chapter 7 Solutions

Precalculus Enhanced with Graphing Utilities

Ch. 7.1 - True or False sin( sin 1 0 )=0 and cos( cos 1 0...Ch. 7.1 - True or False y= tan 1 x means x=tany , where x...Ch. 7.1 - In Problems 15-26, find, the exact value sin 1 0Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 15-26, find, the exact value of each...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 27-38, use a calculator to find the...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - In Problems 39-62, find the exact value, if any,...Ch. 7.1 - Prob. 45AYUCh. 7.1 - Prob. 46AYUCh. 7.1 - Prob. 47AYUCh. 7.1 - Prob. 48AYUCh. 7.1 - Prob. 49AYUCh. 7.1 - Prob. 50AYUCh. 7.1 - Prob. 51AYUCh. 7.1 - Prob. 52AYUCh. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - In Problems 63-70, find the inverse function f 1...Ch. 7.1 - Find the exact solution of each equation. 4 sin 1...Ch. 7.1 - Find the exact solution of each equation. 2 cos 1...Ch. 7.1 - Find the exact solution of each equation. 3 cos 1...Ch. 7.1 - Find the exact solution of each equation. 6 sin 1...Ch. 7.1 - Find the exact solution of each equation. 3 tan 1...Ch. 7.1 - In Problems 71-78, find the exact solution of each...Ch. 7.1 - In Problems 71-78, find the exact solution of each...Ch. 7.1 - In Problems 71-78, find the exact solution of each...Ch. 7.1 - In Problems 79-84, use the following discussion....Ch. 7.1 - In Problems 79-84, use the following discussion....Ch. 7.1 - In Problems 79-84, use the following discussion....Ch. 7.1 - In Problems 79-84, use the following discussion....Ch. 7.1 - In Problems 79-84, use the following discussion....Ch. 7.1 - In Problems 79-84, use the following discussion....Ch. 7.1 - Being the First to See the Rising Sun Cadillac...Ch. 7.1 - Movie Theater Screens Suppose that a movie theater...Ch. 7.1 - Area under a Curve The area under the graph of y=...Ch. 7.1 - Area under a Curve The area under the graph of y=...Ch. 7.1 - Problems 89 and 90 require the following...Ch. 7.1 - Problems 89 and 90 require the following...Ch. 7.2 - What is the domain and the range of y=secx ?Ch. 7.2 - True or False The graph of y=secx is one-to-one on...Ch. 7.2 - If tan= 1 2 , 2 2 , then sin= ______.Ch. 7.2 - y= sec 1 x means ________, where | x | ______ and...Ch. 7.2 - y= sec 1 x means ________, where | x | ______ and...Ch. 7.2 - True or False It is impossible to obtain exact...Ch. 7.2 - True or False csc 1 0.5 is not defined.Ch. 7.2 - True or False The domain of the inverse cotangent...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 9-36, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 37-44, find the exact value of each...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - Prob. 52AYUCh. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 45-56, use a calculator to find the...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 57-66, write each trigonometric...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - In Problems 67-78, f( x )=sinx , 2 x 2 , g( x...Ch. 7.2 - Problems 79 and 80 require the following...Ch. 7.2 - Problems 79 and 80 require the following...Ch. 7.2 - Artillery A projectile fired into the first...Ch. 7.2 - Using a graphing utility, graph y= cot 1 x .Ch. 7.2 - Using a graphing utility, graph y= sec 1 x .Ch. 7.2 - Using a graphing utility, graph y= csc 1 x .Ch. 7.2 - Explain in your own words how you would use your...Ch. 7.2 - Consult three texts on calculus and write down the...Ch. 7.3 - Solve: 3x5=x+1Ch. 7.3 - sin( 4 )= ______; cos( 8 3 )= ______.Ch. 7.3 - Find the real solutions of 4 x 2 x5=0 .Ch. 7.3 - Find the real solutions of x 2 x1=0 .Ch. 7.3 - Find the real solutions of ( 2x1 ) 2 3( 2x1 )4=0 .Ch. 7.3 - True or False Most trigonometric equations have...Ch. 7.3 - True or False Two solutions of the equation sin= 1...Ch. 7.3 - True or False The set of all solutions of the...Ch. 7.3 - True or False The equation sin=2 has a real...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 13-36, solve each equation on the...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 37-46, solve each equation. Give a...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 47-58, use a calculator to solve each...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 59-82, solve each equation on the...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - In Problems 83-94, use a graphing utility to solve...Ch. 7.3 - What are the zeros of f( x )=4 sin 2 x3 on the...Ch. 7.3 - What are the zeros of f( x )=2cos( 3x )+1 on the...Ch. 7.3 - f(x)=3sinx a. Find the zeros of f on the interval...Ch. 7.3 - f( x )=2cosx a. Find the zeros of f on the...Ch. 7.3 - f( x )=4tanx a. Solve f( x )=4 . b. For what...Ch. 7.3 - f( x )=cotx a. Solve f( x )= 3 . b. For what...Ch. 7.3 - a. Graph f( x )=3sin( 2x )+2 and g( x )= 7 2 on...Ch. 7.3 - a. Graph f( x )=2cos x 2 +3 and g( x )=4 on the...Ch. 7.3 - a. Graph f( x )=4cosx and g( x )=2cosx+3 on the...Ch. 7.3 - a. Graph f( x )=2sinx and g( x )=2sinx+2 on the...Ch. 7.3 - Blood Pressure Blood pressure is a way of...Ch. 7.3 - The Ferris Wheel In 1893, George Ferris engineered...Ch. 7.3 - Holding Pattern An airplane is asked to slay...Ch. 7.3 - Projectile Motion A golfer hits a golf ball with...Ch. 7.3 - Heat Transfer In the study of heat transfer, the...Ch. 7.3 - Carrying a Ladder around a Corner Two hallways,...Ch. 7.3 - Projectile Motion The horizontal distance that a...Ch. 7.3 - Projectile Motion Refer to Problem 111. a. If you...Ch. 7.3 - Prob. 111AYUCh. 7.3 - Prob. 112AYUCh. 7.3 - Prob. 113AYUCh. 7.3 - Prob. 114AYUCh. 7.3 - Prob. 115AYUCh. 7.3 - Prob. 116AYUCh. 7.3 - Prob. 117AYUCh. 7.3 - Prob. 118AYUCh. 7.3 - Prob. 119AYUCh. 7.3 - Prob. 120AYUCh. 7.4 - True or False sin 2 =1 cos 2Ch. 7.4 - Prob. 2AYUCh. 7.4 - Suppose that fandg are two functions with the same...Ch. 7.4 - tan 2 sec 2 = _____.Ch. 7.4 - cos()cos= _____.Ch. 7.4 - True or False sin( )+sin=0 for any value of .Ch. 7.4 - True or False In establishing an identity, it is...Ch. 7.4 - Which of the following equation is not an...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - In Problems 11-20, simplify each trigonometric...Ch. 7.4 - establish each identity. secsin=tanCh. 7.4 - establish each identity. secsin=tanCh. 7.4 - establish each identity. 1+ tan 2 ( )= sec 2Ch. 7.4 - establish each identity. 1+ cot 2 ( )= csc 2Ch. 7.4 - establish each identity. cos( tan+cot )=cscCh. 7.4 - establish each identity. sin( cot+tan )=secCh. 7.4 - establish each identity. tanucotu cos 2 u= sin 2 uCh. 7.4 - establish each identity. sinucscu cos 2 u= sin 2 uCh. 7.4 - establish each identity. ( sec1 )( sec+1 )= tan 2Ch. 7.4 - establish each identity. ( csc1 )( csc+1 )= cot 2Ch. 7.4 - establish each identity. ( sec+tan )( sectan )=1Ch. 7.4 - establish each identity. ( csc+cot )( csccot )=1Ch. 7.4 - establish each identity. cos 2 ( 1+ tan 2 )=1Ch. 7.4 - establish each identity. ( 1 cos 2 )( 1+ cot 2 ...Ch. 7.4 - establish each identity. ( sin+cos ) 2 + ( sincos...Ch. 7.4 - establish each identity. tan 2 cos 2 + cot 2 sin...Ch. 7.4 - establish each identity. sec 4 sec 2 = tan 4 +...Ch. 7.4 - establish each identity. csc 4 csc 2 = cot 4 +...Ch. 7.4 - establish each identity. secutanu= cosu 1+sinuCh. 7.4 - establish each identity. cscucotu= sinu 1+cosuCh. 7.4 - establish each identity. 3 sin 2 +4 cos 2 =3+ cos...Ch. 7.4 - establish each identity. 9 sec 2 5 tan 2 =5+4 sec...Ch. 7.4 - establish each identity. 1 cos 2 1+sin =sinCh. 7.4 - establish each identity. 1 sin 2 1cos =cosCh. 7.4 - establish each identity. 1+tan 1tan = cot+1 cot1Ch. 7.4 - establish each identity. csc1 csc+1 = 1sin 1+sinCh. 7.4 - establish each identity. sec csc + sin cos =2tanCh. 7.4 - establish each identity. csc1 cot = cot csc+1Ch. 7.4 - establish each identity. 1+sin 1sin = csc+1 csc1Ch. 7.4 - establish each identity. cos+1 cos1 = 1+sec 1secCh. 7.4 - establish each identity. 1sin cos + cos 1sin =2secCh. 7.4 - establish each identity. cos 1+sin + 1+sin cos...Ch. 7.4 - establish each identity. sin sincos = 1 1cotCh. 7.4 - establish each identity. 1 sin 2 1+cos =cosCh. 7.4 - establish each identity. 1sin 1+sin = ( sectan ) 2Ch. 7.4 - establish each identity. 1cos 1+cos = (csccot) 2Ch. 7.4 - establish each identity. cos 1tan + sin 1cot...Ch. 7.4 - establish each identity. cot 1tan + tan 1cot...Ch. 7.4 - establish each identity. tan+ cos 1+sin =secCh. 7.4 - establish each identity. tan+ cos 1+sin =secCh. 7.4 - establish each identity. tan+sec1 tansec+1...Ch. 7.4 - establish each identity. sincos+1 sin+cos1 = sin+1...Ch. 7.4 - establish each identity. tancot tan+cot = sin 2 ...Ch. 7.4 - establish each identity. seccos sec+cos = sin 2 ...Ch. 7.4 - establish each identity. tanucotu tanu+cotu +1=2...Ch. 7.4 - establish each identity. tanucotu tanu+cotu +2 cos...Ch. 7.4 - establish each identity. sec+tan cot+cos =tansecCh. 7.4 - establish each identity. sec 1+sec = 1cos sin 2Ch. 7.4 - establish each identity. 1 tan 2 1+ tan 2 +1=2...Ch. 7.4 - establish each identity. 1 cot 2 1+ cot 2 +2 cos...Ch. 7.4 - establish each identity. seccsc seccsc =sincosCh. 7.4 - establish each identity. sin 2 tan cos 2 cot = tan...Ch. 7.4 - establish each identity. seccos=sintanCh. 7.4 - establish each identity. tan+cot=seccscCh. 7.4 - establish each identity. 1 1sin + 1 1+sin =2 sec 2Ch. 7.4 - establish each identity. 1+sin 1sin 1sin 1+sin...Ch. 7.4 - establish each identity. sec 1sin = 1+sin cos 3Ch. 7.4 - establish each identity. 1+sin 1sin = ( sec+tan )...Ch. 7.4 - establish each identity. ( sectan ) 2 +1 csc(...Ch. 7.4 - establish each identity. sec 2 tan 2 +tan sec...Ch. 7.4 - establish each identity. sin+cos cos sincos sin...Ch. 7.4 - establish each identity. sin+cos sin cossin cos...Ch. 7.4 - establish each identity. sin 3 +co s 3 sin+cos...Ch. 7.4 - establish each identity. sin 3 +co s 3 12 cos 2 ...Ch. 7.4 - establish each identity. co s 2 sin 2 1 tan 2 =...Ch. 7.4 - establish each identity. cos+sin sin 3 sin =cot+...Ch. 7.4 - establish each identity. (2co s 2 1) 2 cos 4 sin...Ch. 7.4 - establish each identity. 12 cos 2 sincos =tancotCh. 7.4 - establish each identity. 1+sin+cos 1+sincos =...Ch. 7.4 - establish each identity. 1+cos+sin 1+cossin...Ch. 7.4 - establish each identity. ( asin+bcos ) 2 + (...Ch. 7.4 - establish each identity. ( 2asincos ) 2 + a 2 (...Ch. 7.4 - establish each identity. tan+tan cot+cot =tantanCh. 7.4 - establish each identity. ( tan+tan )( 1cotcot )+(...Ch. 7.4 - establish each identity. ( sin+cos ) 2 +( cos+sin...Ch. 7.4 - establish each identity. ( sincos ) 2 +( cos+sin...Ch. 7.4 - establish each identity. ln| sec |=ln| cos |Ch. 7.4 - establish each identity. ln| tan |=ln| sin |ln|...Ch. 7.4 - establish each identity. ln| 1+cos |+ln| 1cos...Ch. 7.4 - establish each identity. ln| sec+tan |+ln| sectan...Ch. 7.4 - In Problems 101-104, show that the functions f and...Ch. 7.4 - In Problems 101-104, show that the functions f and...Ch. 7.4 - In Problems 101-104, show that the functions f and...Ch. 7.4 - In Problems 101-104, show that the functions f and...Ch. 7.4 - Show that 16+16 tan 2 =4sec if 2 2 .Ch. 7.4 - Show that 9 sec 2 9 =3tan if 3 2 .Ch. 7.4 - Searchlights A searchlight at the grand opening of...Ch. 7.4 - Optical Measurement Optical methods of measurement...Ch. 7.4 - Write a few paragraphs outlining your strategy for...Ch. 7.4 - Write down the three Pythagorean Identities.Ch. 7.4 - Why do you think it is usually preferable to start...Ch. 7.4 - Make up an identity that is not a basic identity.Ch. 7.5 - The distance d from the point ( 2,3 ) to the point...Ch. 7.5 - If sin= 4 5 and is in quadrant II, then cos=...Ch. 7.5 - (a) sin 4 cos 3 = _____ . (pp. 382-385) (b) tan ...Ch. 7.5 - If sin= 4 5 , 3 2 then cos= ____ . (pp.401-403)Ch. 7.5 - cos( + )=coscos ___ sinsinCh. 7.5 - sin( )=sincos ___ cossinCh. 7.5 - True or False sin( + )=sin+sin+2sinsinCh. 7.5 - True or False tan75 =tan30 +tan45Ch. 7.5 - True or False cos( 2 )=cosCh. 7.5 - True or False If f( x )=sinxandg( x )=cosx , then...Ch. 7.5 - Prob. 11AYUCh. 7.5 - Prob. 12AYUCh. 7.5 - Prob. 13AYUCh. 7.5 - Prob. 14AYUCh. 7.5 - Prob. 15AYUCh. 7.5 - Prob. 16AYUCh. 7.5 - Prob. 17AYUCh. 7.5 - Prob. 18AYUCh. 7.5 - Prob. 19AYUCh. 7.5 - Prob. 20AYUCh. 7.5 - Prob. 21AYUCh. 7.5 - Prob. 22AYUCh. 7.5 - Find the exact value of each expression. sin 20 ...Ch. 7.5 - Find the exact value of each expression. sin 20 ...Ch. 7.5 - Find the exact value of each expression. cos 70 ...Ch. 7.5 - Find the exact value of each expression. cos 40 ...Ch. 7.5 - Find the exact value of each expression. tan 20 ...Ch. 7.5 - Find the exact value of each expression. tan 40 ...Ch. 7.5 - Find the exact value of each expression. sin 12...Ch. 7.5 - Find the exact value of each expression. cos 5 12...Ch. 7.5 - Find the exact value of each expression. cos 12...Ch. 7.5 - Find the exact value of each expression. sin 18...Ch. 7.5 - In Problems 35-40, find the exact value of each of...Ch. 7.5 - In Problems 35-40, find the exact value of each of...Ch. 7.5 - In Problems 35-40, find the exact value of each of...Ch. 7.5 - In Problems 35-40, find the exact value of each of...Ch. 7.5 - In Problems 35-40, find the exact value of each of...Ch. 7.5 - In Problems 35-40, find the exact value of each of...Ch. 7.5 - If sin= 1 3 , in quadrant II, find the exact value...Ch. 7.5 - If cos= 1 4 , in quadrant IV, find the exact value...Ch. 7.5 - In problems 43-48, use the figures to evaluate...Ch. 7.5 - In problems 43-48, use the figures to evaluate...Ch. 7.5 - In problems 43-48, use the figures to evaluate...Ch. 7.5 - In problems 43-48, use the figures to evaluate...Ch. 7.5 - In problems 43-48, use the figures to evaluate...Ch. 7.5 - In problems 43-48, use the figures to evaluate...Ch. 7.5 - establish each identify. sin( 2 + )=cosCh. 7.5 - establish each identify. cos( 2 + )=sinCh. 7.5 - establish each identify. sin( )=sinCh. 7.5 - establish each identify. cos( )=cosCh. 7.5 - establish each identify. sin( + )=sinCh. 7.5 - establish each identify. cos( + )=cosCh. 7.5 - establish each identify. tan( )=tanCh. 7.5 - establish each identify. tan( 2 )=tanCh. 7.5 - establish each identify. sin( 3 2 + )=cosCh. 7.5 - establish each identify. cos( 3 2 + )=sinCh. 7.5 - establish each identify. sin( + )+sin( )=2sincosCh. 7.5 - establish each identify. cos( + )+cos( )=2coscosCh. 7.5 - establish each identify. sin( + ) sincos =1+cottanCh. 7.5 - establish each identify. sin( + ) coscos =tan+tanCh. 7.5 - establish each identify. cos( + ) coscos =1tantanCh. 7.5 - establish each identify. cos( ) sincos =cot+tanCh. 7.5 - establish each identify. sin( + ) sin( ) =...Ch. 7.5 - establish each identify. cos( + ) cos( ) =...Ch. 7.5 - establish each identify. cot( + )= cotcot1 cot+cotCh. 7.5 - establish each identify. cot( )= cotcot+1 cotcotCh. 7.5 - establish each identify. sec( + )= csccsc cotcot1Ch. 7.5 - establish each identify. sec( )= secsec 1+tantanCh. 7.5 - establish each identify. sin( )sin( + )= sin 2 ...Ch. 7.5 - establish each identify. cos( )cos( + )= cos 2 ...Ch. 7.5 - establish each identify. sin( +k )= ( 1 ) k sin,k...Ch. 7.5 - establish each identify. cos( +k )= ( 1 ) k cos,k...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In problems 75-86, find the exact value of each...Ch. 7.5 - In Problems 87-92, write each trigonometric...Ch. 7.5 - In Problems 87-92, write each trigonometric...Ch. 7.5 - In Problems 87-92, write each trigonometric...Ch. 7.5 - In Problems 87-92, write each trigonometric...Ch. 7.5 - In Problems 87-92, write each trigonometric...Ch. 7.5 - In Problems 87-92, write each trigonometric...Ch. 7.5 - In problems 93-98, solve each equation on the...Ch. 7.5 - In problems 93-98, solve each equation on the...Ch. 7.5 - In problems 93-98, solve each equation on the...Ch. 7.5 - In problems 93-98, solve each equation on the...Ch. 7.5 - In problems 93-98, solve each equation on the...Ch. 7.5 - In problems 93-98, solve each equation on the...Ch. 7.5 - Show that sin 1 v+ cos 1 v= 2 .Ch. 7.5 - Show that tan 1 v+ cot 1 v= 2 .Ch. 7.5 - Show that tan 1 ( 1 v )= 2 tan 1 v , if v0 .Ch. 7.5 - Show that cot 1 e v =tan 1 e v .Ch. 7.5 - Show that sin( sin 1 v+ cos 1 v )=1 .Ch. 7.5 - Show that cos( sin 1 v+ cos 1 v )=0 .Ch. 7.5 - Calculus Show that the difference quotient for f(...Ch. 7.5 - Calculus Show that the difference quotient for f(...Ch. 7.5 - One, Two, Three (a) Show that tan( tan 1 1+ tan 1...Ch. 7.5 - Electric Power In an alternating current (ac)...Ch. 7.5 - Prob. 107AYUCh. 7.5 - If ++= 180 andcot=cot+cot+cot0 90 show that sin...Ch. 7.5 - If tan=x+1andtan=x1 , show that 2cot( )= x 2Ch. 7.5 - Discuss the following derivation: tan( + 2 )=...Ch. 7.5 - Explain why formula (7) cannot be used to show...Ch. 7.6 - cos( 2 )= cos 2 =1=1Ch. 7.6 - sin 2 2 = 2Ch. 7.6 - tan 2 = 1cosCh. 7.6 - True or False tan( 20 )= 2tan 1 tan 2Ch. 7.6 - True or False sin( 2 ) has two equivalent forms:...Ch. 7.6 - True or False tan( 2 )+tan( 2 )=tan( 4 )Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 9-20, use the information given about...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 21-30, use the Half-angle Formulas to...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - In Problems 31-42, use the figures to evaluate...Ch. 7.6 - Show that sin 4 = 3 8 1 2 cos( 2 )+ 1 8 cos( 4 )Ch. 7.6 - Show that sin( 4 )=( cos )( 4sin8 sin 3 ) .Ch. 7.6 - Develop a formula for cos( 3 ) as a third-degree...Ch. 7.6 - Develop a formula for cos( 4 ) as a third-degree...Ch. 7.6 - Find an expression for sin( 5 ) as a fifth-degree...Ch. 7.6 - Find an expression for cos( 5 ) as a fifth-degree...Ch. 7.6 - cos 4 sin 4 =cos( 2 )Ch. 7.6 - establish each identify. cot-tan cot+tan =cos( 2 )Ch. 7.6 - establish each identify. cot( 2 )= cot 2 -1 2cotCh. 7.6 - establish each identify. cot( 2 )= 1 2 ( cot-tan )Ch. 7.6 - establish each identify. sec( 2 )= sec 2 2- sec 2Ch. 7.6 - establish each identify. csc( 2 )= 1 2 seccscCh. 7.6 - establish each identify. cos 2 ( 2u ) -sin 2 ( 2u...Ch. 7.6 - establish each identify. ( 4sinucosu )( 1 -2sin 2...Ch. 7.6 - establish each identify. cos( 2 ) 1+sin( 2 ) =...Ch. 7.6 - establish each identify. sin 2 cos 2 = 1 8 [...Ch. 7.6 - establish each identify. sec 2 2 = 2 1+cosCh. 7.6 - establish each identify. csc 2 2 = 2 1-cosCh. 7.6 - establish each identify. cot 2 v 2 = secv+1 secv-1Ch. 7.6 - establish each identify. tan v 2 =cscv-cotvCh. 7.6 - establish each identify. cos= 1 -tan 2 2 1 +tan 2...Ch. 7.6 - establish each identify. 1- 1 2 sin( 2 )= sin 3 ...Ch. 7.6 - establish each identify. sin( 3 ) sin cos( 3 )...Ch. 7.6 - establish each identify. cos+sin cossin cossin...Ch. 7.6 - establish each identify. tan( 3 )= 3tan tan 3 13...Ch. 7.6 - establish each identify. tan+tan( + 120 )+tan( +...Ch. 7.6 - establish each identify. ln| sin |= 1 2 ( ln|...Ch. 7.6 - establish each identify. ln| cos |= 1 2 ( ln|...Ch. 7.6 - solve each equation on the interval 02 . cos( 2...Ch. 7.6 - solve each equation on the interval 02 . cos( 2...Ch. 7.6 - solve each equation on the interval 02 . cos( 2...Ch. 7.6 - solve each equation on the interval 02 . sin( 2...Ch. 7.6 - solve each equation on the interval 02 . sin( 2...Ch. 7.6 - solve each equation on the interval 02 . cos( 2...Ch. 7.6 - solve each equation on the interval 02 . 3sin=cos(...Ch. 7.6 - solve each equation on the interval 02 . cos( 2...Ch. 7.6 - solve each equation on the interval 02 . tan( 2...Ch. 7.6 - solve each equation on the interval 02 . tan( 2...Ch. 7.6 - find the exact value of each expression. sin( 2...Ch. 7.6 - find the exact value of each expression. sin[ 2...Ch. 7.6 - find the exact value of each expression. cos( 2...Ch. 7.6 - find the exact value of each expression. cos( 2...Ch. 7.6 - find the exact value of each expression. tan[ 2...Ch. 7.6 - find the exact value of each expression. tan( 2...Ch. 7.6 - find the exact value of each expression. sin( 2...Ch. 7.6 - find the exact value of each expression. cos[ 2...Ch. 7.6 - find the exact value of each expression. sin 2 ( 1...Ch. 7.6 - find the exact value of each expression. cos 2 ( 1...Ch. 7.6 - find the exact value of each expression. sec( 2...Ch. 7.6 - find the exact value of each expression. csc[ 2...Ch. 7.6 - find the real zeros of each trigonometric function...Ch. 7.6 - find the real zeros of each trigonometric function...Ch. 7.6 - find the real zeros of each trigonometric function...Ch. 7.6 - Constructing a Rain Gutter A rain gutter is to be...Ch. 7.6 - Laser Projection In a laser projection system, the...Ch. 7.6 - Product of Inertia The product of inertia for an...Ch. 7.6 - Projectile Motion An object is propelled upward at...Ch. 7.6 - Sawtooth Curve An oscilloscope often displays a...Ch. 7.6 - Area of an Isosceles Triangle Show that the area A...Ch. 7.6 - Geometry A rectangle is inscribed in a semicircle...Ch. 7.6 - Prob. 101AYUCh. 7.6 - Prob. 102AYUCh. 7.6 - Prob. 103AYUCh. 7.6 - Prob. 104AYUCh. 7.6 - Prob. 105AYUCh. 7.6 - Prob. 106AYUCh. 7.6 - Prob. 107AYUCh. 7.6 - Prob. 108AYUCh. 7.6 - Prob. 109AYUCh. 7.6 - Prob. 110AYUCh. 7.6 - Prob. 111AYUCh. 7.6 - Prob. 112AYUCh. 7.7 - find the exact value of each expression. sin 195 ...Ch. 7.7 - find the exact value of each expression. cos 285 ...Ch. 7.7 - find the exact value of each expression. sin 195 ...Ch. 7.7 - find the exact value of each expression. sin 75 ...Ch. 7.7 - Find the exact value of each expression. cos 225 ...Ch. 7.7 - Find the exact value of each expression. sin 255 ...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each product as a sum containing only...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - express each sum or difference as a product of...Ch. 7.7 - establish each identify. sin+sin(3) 2sin(2) =cosCh. 7.7 - establish each identify. cos+cos(3) 2cos(2) =cosCh. 7.7 - establish each identify. sin(4)+sin(2)...Ch. 7.7 - establish each identify. cos-cos(3) sin(3)-sin...Ch. 7.7 - establish each identify. cos-cos(3) sin+sin(3)...Ch. 7.7 - establish each identify. cos-cos(5) sin+sin(5)...Ch. 7.7 - establish each identify. sin[ sin+sin(3) ]=cos[...Ch. 7.7 - establish each identify. sin(4)+sin(8)...Ch. 7.7 - establish each identify. sin(4)+sin(8)...Ch. 7.7 - establish each identify. sin(4)-sin(8)...Ch. 7.7 - establish each identify. sin(4)+sin(8)...Ch. 7.7 - establish each identify. cos(4)-cos(8)...Ch. 7.7 - establish each identify. sin+sin sin-sin =tan + 2...Ch. 7.7 - establish each identify. cos+cos cos-cos =-cot + 2...Ch. 7.7 - establish each identify. sin+sin cos+cos =tan + 2Ch. 7.7 - establish each identify. sin-sin cos-cos =-cot + 2Ch. 7.7 - establish each identify. 1+cos( 2 )+cos( 4 )+cos(...Ch. 7.7 - establish each identify. 1-cos( 2 )+cos( 4 )-cos(...Ch. 7.7 - solve each equation on the interval 02 sin( 2...Ch. 7.7 - solve each equation on the interval 02 cos( 2...Ch. 7.7 - solve each equation on the interval 02 cos( 4...Ch. 7.7 - solve each equation on the interval 02 sin( 4...Ch. 7.7 - Derive formula ( 3 ) .Ch. 7 - Find the exact value of each expression. Do not...Ch. 7 - find the exact value of each expression. Do not...Ch. 7 - Find the exact value of each expression. Do not...Ch. 7 - Find the exact value of each expression. Do not...Ch. 7 - Find the exact value of each expression. Do not...Ch. 7 - Find the exact value of each expression. Do not...Ch. 7 - Find the exact value of each expression. Do not...Ch. 7 - Find the exact value of each expression. Do not...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - Find the exact value, if any, of each composite...Ch. 7 - In Problems 24 and 25, find the inverse function f...Ch. 7 - In Problems 24 and 25, find the inverse function f...Ch. 7 - In Problems 26 and 27, write each trigonometric...Ch. 7 - In Problems 26 and 27, write each trigonometric...Ch. 7 - In Problems 28-44, establish each identity. tancot...Ch. 7 - In Problems 28-44, establish each identity. sin 2...Ch. 7 - In Problems 28-44, establish each identity. 5 cos...Ch. 7 - In Problems 28-44, establish each identity. 1cos...Ch. 7 - In Problems 28-44, establish each identity. cos...Ch. 7 - In Problems 28-44, establish each identity. csc...Ch. 7 - In Problems 28-44, establish each identity....Ch. 7 - In Problems 28-44, establish each identity. 1sin...Ch. 7 - In Problems 28-44, establish each identity. 12sin...Ch. 7 - In Problems 28-44, establish each identity. cos( +...Ch. 7 - In Problems 28-44, establish each identity. cos( ...Ch. 7 - In Problems 28-44, establish each identity. (...Ch. 7 - In Problems 28-44, establish each identity....Ch. 7 - In Problems 28-44, establish each identity. 18 sin...Ch. 7 - In Problems 28-44, establish each identity. sin( 3...Ch. 7 - In Problems 28-44, establish each identity. sin( 2...Ch. 7 - In Problems 28-44, establish each identity. cos( 2...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 45-52, find the exact value of each...Ch. 7 - In Problems 53-57, use the information given about...Ch. 7 - In Problems 53-57, use the information given about...Ch. 7 - In Problems 53-57, use the information given about...Ch. 7 - In Problems 53-57, use the information given about...Ch. 7 - In Problems 53-57, use the information given about...Ch. 7 - In Problems 58-63, find the exact value of each...Ch. 7 - In Problems 58-63, find the exact value of each...Ch. 7 - In Problems 58-63, find the exact value of each...Ch. 7 - In Problems 58-63, find the exact value of each...Ch. 7 - In Problems 58-63, find the exact value of each...Ch. 7 - In Problems 58-63, find the exact value of each...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 64-75, solve each equation on the...Ch. 7 - In Problems 76 - 80, use a calculator to find an...Ch. 7 - In Problems 76 - 80, use a calculator to find an...Ch. 7 - In Problems 76 - 80, use a calculator to find an...Ch. 7 - Prob. 79RECh. 7 - Prob. 80RECh. 7 - In Problems 81-83, use a graphing utility to solve...Ch. 7 - In Problems 81-83, use a graphing utility to solve...Ch. 7 - In Problems 81-83, use a graphing utility to solve...Ch. 7 - In Problems 84 and 85, find the exact solution of...Ch. 7 - In Problems 84 and 85, find the exact solution of...Ch. 7 - Use a Half-angle Formula to find the exact value...Ch. 7 - If you are given the value of cos and want the...Ch. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CTCh. 7 - Prob. 19CTCh. 7 - Prob. 20CTCh. 7 - Prob. 21CTCh. 7 - Prob. 22CTCh. 7 - Prob. 23CTCh. 7 - Prob. 24CTCh. 7 - Prob. 25CTCh. 7 - Prob. 26CTCh. 7 - Prob. 27CTCh. 7 - Prob. 28CTCh. 7 - Prob. 29CTCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CR
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