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Math
Calculus
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Chapter 7.3, Problem 6AYP
Chapter 7.3, Problem 6AYP
BUY
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
7th Edition
ISBN:
9780134268231
Author: Michael Sullivan, Michael Sullivan III
Publisher:
PEARSON
expand_less
1 Graphs
2 Functions And Their Graphs
3 Linear And Quadratic Functions
4 Polynomial And Rational Functions
5 Exponential And Logarithmic Functions
6 Trigonometric Functions
7 Analytic Trigonometry
8 Applications Of Trigonometric Functions
9 Polar Coordinates; Vectors
10 Analytic Geometry
11 Systems Of Equations And Inequalities
12 Sequences; Induction; The Binomial Theorem
13 Counting And Probability
14 A Preview Of Calculus: The Limit, Derivative, And Integral Of A Function
A Review
B The Limit Of A Sequence; Infinite Series
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7.1 The Inverse Sine, Cosine, And Tangent Functions
7.2 The Inverse Trigonometric Functions (continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
7.5 Sum And Difference Formulas
7.6 Double-angle And Half-angle Formulas
7.7 Product-to-sum And Sum-to-product Formulas
7.R Review
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Problem 1AYP: Solve: 3x5=x+1
Problem 2AYP: sin( 4 )= ______; cos( 8 3 )= ______.
Problem 3AYP: Find the real solutions of 4 x 2 x5=0 .
Problem 4AYP: Find the real solutions of x 2 x1=0 .
Problem 5AYP: Find the real solutions of ( 2x1 ) 2 3( 2x1 )4=0 .
Problem 6AYP
Problem 7CV: True or False Most trigonometric equations have unique solutions.
Problem 8CV: True or False Two solutions of the equation sin= 1 2 are 6 and 5 6 .
Problem 9CV: True or False The set of all solutions of the equation tan=1 is given by { |= 4 +k,kisanyinteger }
Problem 10CV: True or False The equation sin=2 has a real solution that can be found using a calculator.
Problem 11CV: If all solutions of a trigonometric equation are given by the general formula = 6 +2k or = 11 6 +2k...
Problem 12CV: Suppose = 2 is the only solution of a trigonometric equation in the interval 02 . Assuming a period...
Problem 13SB: In Problems 13-36, solve each equation on the interval 02 . 2sin+3=2
Problem 14SB: In Problems 13-36, solve each equation on the interval 02 . 1cos= 1 2
Problem 15SB: In Problems 13-36, solve each equation on the interval 02 . 2sin+1=0
Problem 16SB: In Problems 13-36, solve each equation on the interval 02 . cos+1=0
Problem 17SB: In Problems 13-36, solve each equation on the interval 02 . tan+1=0
Problem 18SB: In Problems 13-36, solve each equation on the interval 02 . 3 cot+1=0
Problem 19SB: In Problems 13-36, solve each equation on the interval 02 . 4sec+6=2
Problem 20SB: In Problems 13-36, solve each equation on the interval 02 . 5csc3=2
Problem 21SB: In Problems 13-36, solve each equation on the interval 02 . 3 2 cos+2=1
Problem 22SB: In Problems 13-36, solve each equation on the interval 02 . 4sin+3 3 = 3
Problem 23SB: In Problems 13-36, solve each equation on the interval 02 . 4 cos 2 =1
Problem 24SB: In Problems 13-36, solve each equation on the interval 02 . tan 2 = 1 3
Problem 25SB: In Problems 13-36, solve each equation on the interval 02 . 2 sin 2 1=0
Problem 26SB: In Problems 13-36, solve each equation on the interval 02 . 4 cos 2 3=0
Problem 27SB: In Problems 13-36, solve each equation on the interval 02 . sin( 3 )=1
Problem 28SB: In Problems 13-36, solve each equation on the interval 02 . tan 2 = 3
Problem 29SB: In Problems 13-36, solve each equation on the interval 02 . cos( 2 )= 1 2
Problem 30SB: In Problems 13-36, solve each equation on the interval 02 . tan( 2 )=1
Problem 31SB: In Problems 13-36, solve each equation on the interval 02 . sec 3 2 =2
Problem 32SB: In Problems 13-36, solve each equation on the interval 02 . cot 2 3 = 3
Problem 33SB: In Problems 13-36, solve each equation on the interval 02 . cos( 2 2 )=1
Problem 34SB: In Problems 13-36, solve each equation on the interval 02 . sin( 3+ 18 )=1
Problem 35SB: In Problems 13-36, solve each equation on the interval 02 . tan( 2 + 3 )=1
Problem 36SB: In Problems 13-36, solve each equation on the interval 02 . cos( 3 4 )= 1 2
Problem 37SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 38SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 39SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 40SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 41SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 42SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 43SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 44SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 45SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 46SB: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 47SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 48SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 49SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 50SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 51SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 52SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 53SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 54SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 55SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 56SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 57SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 58SB: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 59SB: In Problems 59-82, solve each equation on the interval 02 . 2 cos 2 +cos=0
Problem 60SB: In Problems 59-82, solve each equation on the interval 02 . sin 2 1=0
Problem 61SB: In Problems 59-82, solve each equation on the interval 02 . 2 sin 2 sin1=0
Problem 62SB: In Problems 59-82, solve each equation on the interval 02 . 2 cos 2 +cos1=0
Problem 63SB: In Problems 59-82, solve each equation on the interval 02 . ( tan1 )( sec1 )=0
Problem 64SB: In Problems 59-82, solve each equation on the interval 02 . ( cot+1 )( csc 1 2 )=0
Problem 65SB: In Problems 59-82, solve each equation on the interval 02 . sin 2 cos 2 =1+cos
Problem 66SB: In Problems 59-82, solve each equation on the interval 02 . cos 2 sin 2 +sin=0
Problem 67SB: In Problems 59-82, solve each equation on the interval 02 . sin 2 =6( cos( )+1 )
Problem 68SB: In Problems 59-82, solve each equation on the interval 02 . 2 sin 2 =3( 1cos( ) )
Problem 69SB: In Problems 59-82, solve each equation on the interval 02 . cos=sin( )
Problem 70SB: In Problems 59-82, solve each equation on the interval 02 . cossin( )=0
Problem 71SB: In Problems 59-82, solve each equation on the interval 02 . tan=2sin
Problem 72SB: In Problems 59-82, solve each equation on the interval 02 . tan=cot
Problem 73SB: In Problems 59-82, solve each equation on the interval 02 . 1+sin=2 cos 2
Problem 74SB: In Problems 59-82, solve each equation on the interval 02 . sin 2 =2cos+2
Problem 75SB: In Problems 59-82, solve each equation on the interval 02 . 2 sin 2 5sin+3=0
Problem 76SB: In Problems 59-82, solve each equation on the interval 02 . 2 cos 2 7cos4=0
Problem 77SB: In Problems 59-82, solve each equation on the interval 02 . 3( 1cos )= sin 2
Problem 78SB: In Problems 59-82, solve each equation on the interval 02 . 4( 1+sin )= cos 2
Problem 79SB: In Problems 59-82, solve each equation on the interval 02 . tan 2 = 3 2 sec
Problem 80SB: In Problems 59-82, solve each equation on the interval 02 . csc 2 =cot+1
Problem 81SB: In Problems 59-82, solve each equation on the interval 02 . sec 2 +tan=0
Problem 82SB: In Problems 59-82, solve each equation on the interval 02 . sec=tan+cot
Problem 83SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 84SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 85SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 86SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 87SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 88SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 89SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 90SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 91SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 92SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 93SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 94SB: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 95MP: What are the zeros of f( x )=4 sin 2 x3 on the interval [ 0,2 ] ?
Problem 96MP: What are the zeros of f( x )=2cos( 3x )+1 on the interval [ 0, ] ?
Problem 97MP: f(x)=3sinx a. Find the zeros of f on the interval [ 2,4 ] . b. Graph f(x)=3sinx on the interval [...
Problem 98MP: f( x )=2cosx a. Find the zeros of f on the interval [ 2,4 ] . b. Graph f( x )=2cosx on the interval...
Problem 99MP: f( x )=4tanx a. Solve f( x )=4 . b. For what values of x is f( x )4 on the interval ( 2 , 2 ) ?
Problem 100MP: f( x )=cotx a. Solve f( x )= 3 . b. For what values of x is f( x ) 3 on the interval ( 0, ) ?
Problem 101MP: a. Graph f( x )=3sin( 2x )+2 and g( x )= 7 2 on the same Cartesian plane for the interval [ 0, ] ....
Problem 102MP: a. Graph f( x )=2cos x 2 +3 and g( x )=4 on the same Cartesian plane for the interval [ 0,4 ] . b....
Problem 103MP: a. Graph f( x )=4cosx and g( x )=2cosx+3 on the same Cartesian plane for the interval [ 0,2 ] . b....
Problem 104MP: a. Graph f( x )=2sinx and g( x )=2sinx+2 on the same Cartesian plane for the interval [ 0,2 ] . b....
Problem 105AE: Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls of...
Problem 106AE: The Ferris Wheel In 1893, George Ferris engineered the Ferris wheel. It was 250 feet in diameter. If...
Problem 107AE: Holding Pattern An airplane is asked to slay within a holding pattern near Chicago’s O'Hare...
Problem 108AE: Projectile Motion A golfer hits a golf ball with an initial velocity of 100 miles per hour. The...
Problem 109AE: Heat Transfer In the study of heat transfer, the equation x+tanx=0 occurs. Graph Y 1 =x and Y 2...
Problem 110AE: Carrying a Ladder around a Corner Two hallways, one of width 3 feet, the other of width 4 feet, meet...
Problem 111AE: Projectile Motion The horizontal distance that a projectile will travel in the air (ignoring air...
Problem 112AE: Projectile Motion Refer to Problem 111. a. If you can throw a baseball with an initial speed of 40...
Problem 113AE: sin 1 sin 2 = v 1 v 2 The ratio v 1 v 2 is called the index of refraction. Some values are given...
Problem 114AE: The index of refraction of light in passing from a vacuum into dense flint glass is 1.66 . If the...
Problem 115AE: Ptolemy, who lived in the city of Alexandria in Egypt during the second century AD, gave the...
Problem 116AE: Bending Light The speed of yellow sodium light (wavelength, 589 nanometers) in a certain liquid is...
Problem 117AE: Bending Light A beam of light with a wavelength of 589 nanometers traveling in air makes an angle of...
Problem 118AE: Bending Light A light ray with a wavelength of 589 nanometers (produced by a sodium lamp) traveling...
Problem 119AE: A light beam passes through a thick slab of material whose index of refraction is n 2 . Show that...
Problem 120AE: Brewsters Law If the angle of incidence and the angle of refraction are complementary angles, the...
Problem 121DW: Explain in your own words how you would use your calculator to solve the equation cosx=0.6 , 0x2 ....
Problem 122DW: Explain why no further points of intersection (and therefore no further solutions) exist in Figure...
Problem 123RYK: Convert 6 x =y to an equivalent statement involving a logarithm.
Problem 124RYK: Find the zeros of f( x )=2 x 2 9x+8 .
Problem 125RYK: Given sin= 10 10 and cos= 3 10 10 , find the exact value of each of the four remaining trigonometric...
Problem 126RYK: Determine the amplitude, period, and phase shift of the function y=2sin( 2x ) . Graph the function....
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