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High School
Math
Calculus
Precalculus Enhanced with Graphing Utilities
Chapter 7.3, Problem 6AYU
Chapter 7.3, Problem 6AYU
BUY
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN:
9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher:
PEARSON
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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.1 Algebra Essentials
A.10 Nth Roots; Rational Exponents
A.2 Geometry Essentials
A.3 Polynomials
A.4 Synthetic Division
A.5 Rational Expressions
A.6 Solving Equations
A.7 Complex Numbers; Quadratic Equations In The Complex Number System
A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
A.9 Interval Notation; Solving Inequalities
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
Chapter Questions
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Problem 1AYU: Solve: 3x5=x+1
Problem 2AYU: sin( 4 )= ______; cos( 8 3 )= ______.
Problem 3AYU: Find the real solutions of 4 x 2 x5=0 .
Problem 4AYU: Find the real solutions of x 2 x1=0 .
Problem 5AYU: Find the real solutions of ( 2x1 ) 2 3( 2x1 )4=0 .
Problem 6AYU
Problem 7AYU: True or False Most trigonometric equations have unique solutions.
Problem 8AYU: True or False Two solutions of the equation sin= 1 2 are 6 and 5 6 .
Problem 9AYU: True or False The set of all solutions of the equation tan=1 is given by { |= 4 +k,kisanyinteger }
Problem 10AYU: True or False The equation sin=2 has a real solution that can be found using a calculator.
Problem 11AYU: In Problems 13-36, solve each equation on the interval 02 . 2sin+3=2
Problem 12AYU: In Problems 13-36, solve each equation on the interval 02 . 1cos= 1 2
Problem 13AYU: In Problems 13-36, solve each equation on the interval 02 . 2sin+1=0
Problem 14AYU: In Problems 13-36, solve each equation on the interval 02 . cos+1=0
Problem 15AYU: In Problems 13-36, solve each equation on the interval 02 . tan+1=0
Problem 16AYU: In Problems 13-36, solve each equation on the interval 02 . 3 cot+1=0
Problem 17AYU: In Problems 13-36, solve each equation on the interval 02 . 4sec+6=2
Problem 18AYU: In Problems 13-36, solve each equation on the interval 02 . 5csc3=2
Problem 19AYU: In Problems 13-36, solve each equation on the interval 02 . 3 2 cos+2=1
Problem 20AYU: In Problems 13-36, solve each equation on the interval 02 . 4sin+3 3 = 3
Problem 21AYU: In Problems 13-36, solve each equation on the interval 02 . 4 cos 2 =1
Problem 22AYU: In Problems 13-36, solve each equation on the interval 02 . tan 2 = 1 3
Problem 23AYU: In Problems 13-36, solve each equation on the interval 02 . 2 sin 2 1=0
Problem 24AYU: In Problems 13-36, solve each equation on the interval 02 . 4 cos 2 3=0
Problem 25AYU: In Problems 13-36, solve each equation on the interval 02 . sin( 3 )=1
Problem 26AYU: In Problems 13-36, solve each equation on the interval 02 . tan 2 = 3
Problem 27AYU: In Problems 13-36, solve each equation on the interval 02 . cos( 2 )= 1 2
Problem 28AYU: In Problems 13-36, solve each equation on the interval 02 . tan( 2 )=1
Problem 29AYU: In Problems 13-36, solve each equation on the interval 02 . sec 3 2 =2
Problem 30AYU: In Problems 13-36, solve each equation on the interval 02 . cot 2 3 = 3
Problem 31AYU: In Problems 13-36, solve each equation on the interval 02 . cos( 2 2 )=1
Problem 32AYU: In Problems 13-36, solve each equation on the interval 02 . sin( 3+ 18 )=1
Problem 33AYU: In Problems 13-36, solve each equation on the interval 02 . tan( 2 + 3 )=1
Problem 34AYU: In Problems 13-36, solve each equation on the interval 02 . cos( 3 4 )= 1 2
Problem 35AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 36AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 37AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 38AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 39AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 40AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 41AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 42AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 43AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 44AYU: In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six...
Problem 45AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 46AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 47AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 48AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 49AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 50AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 51AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 52AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 53AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 54AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 55AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 56AYU: In Problems 47-58, use a calculator to solve each equation on the interval 02 . Round answers to two...
Problem 57AYU: In Problems 59-82, solve each equation on the interval 02 . 2 cos 2 +cos=0
Problem 58AYU: In Problems 59-82, solve each equation on the interval 02 . sin 2 1=0
Problem 59AYU: In Problems 59-82, solve each equation on the interval 02 . 2 sin 2 sin1=0
Problem 60AYU: In Problems 59-82, solve each equation on the interval 02 . 2 cos 2 +cos1=0
Problem 61AYU: In Problems 59-82, solve each equation on the interval 02 . ( tan1 )( sec1 )=0
Problem 62AYU: In Problems 59-82, solve each equation on the interval 02 . ( cot+1 )( csc 1 2 )=0
Problem 63AYU: In Problems 59-82, solve each equation on the interval 02 . sin 2 cos 2 =1+cos
Problem 64AYU: In Problems 59-82, solve each equation on the interval 02 . cos 2 sin 2 +sin=0
Problem 65AYU: In Problems 59-82, solve each equation on the interval 02 . sin 2 =6( cos( )+1 )
Problem 66AYU: In Problems 59-82, solve each equation on the interval 02 . 2 sin 2 =3( 1cos( ) )
Problem 67AYU: In Problems 59-82, solve each equation on the interval 02 . cos=sin( )
Problem 68AYU: In Problems 59-82, solve each equation on the interval 02 . cossin( )=0
Problem 69AYU: In Problems 59-82, solve each equation on the interval 02 . tan=2sin
Problem 70AYU: In Problems 59-82, solve each equation on the interval 02 . tan=cot
Problem 71AYU: In Problems 59-82, solve each equation on the interval 02 . 1+sin=2 cos 2
Problem 72AYU: In Problems 59-82, solve each equation on the interval 02 . sin 2 =2cos+2
Problem 73AYU: In Problems 59-82, solve each equation on the interval 02 . 2 sin 2 5sin+3=0
Problem 74AYU: In Problems 59-82, solve each equation on the interval 02 . 2 cos 2 7cos4=0
Problem 75AYU: In Problems 59-82, solve each equation on the interval 02 . 3( 1cos )= sin 2
Problem 76AYU: In Problems 59-82, solve each equation on the interval 02 . 4( 1+sin )= cos 2
Problem 77AYU: In Problems 59-82, solve each equation on the interval 02 . tan 2 = 3 2 sec
Problem 78AYU: In Problems 59-82, solve each equation on the interval 02 . csc 2 =cot+1
Problem 79AYU: In Problems 59-82, solve each equation on the interval 02 . sec 2 +tan=0
Problem 80AYU: In Problems 59-82, solve each equation on the interval 02 . sec=tan+cot
Problem 81AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 82AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 83AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 84AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 85AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 86AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 87AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 88AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 89AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 90AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 91AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 92AYU: In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to...
Problem 93AYU: What are the zeros of f( x )=4 sin 2 x3 on the interval [ 0,2 ] ?
Problem 94AYU: What are the zeros of f( x )=2cos( 3x )+1 on the interval [ 0, ] ?
Problem 95AYU: f(x)=3sinx a. Find the zeros of f on the interval [ 2,4 ] . b. Graph f(x)=3sinx on the interval [...
Problem 96AYU: f( x )=2cosx a. Find the zeros of f on the interval [ 2,4 ] . b. Graph f( x )=2cosx on the interval...
Problem 97AYU: f( x )=4tanx a. Solve f( x )=4 . b. For what values of x is f( x )4 on the interval ( 2 , 2 ) ?
Problem 98AYU: f( x )=cotx a. Solve f( x )= 3 . b. For what values of x is f( x ) 3 on the interval ( 0, ) ?
Problem 99AYU: a. Graph f( x )=3sin( 2x )+2 and g( x )= 7 2 on the same Cartesian plane for the interval [ 0, ] ....
Problem 100AYU: a. Graph f( x )=2cos x 2 +3 and g( x )=4 on the same Cartesian plane for the interval [ 0,4 ] . b....
Problem 101AYU: a. Graph f( x )=4cosx and g( x )=2cosx+3 on the same Cartesian plane for the interval [ 0,2 ] . b....
Problem 102AYU: a. Graph f( x )=2sinx and g( x )=2sinx+2 on the same Cartesian plane for the interval [ 0,2 ] . b....
Problem 103AYU: Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls of...
Problem 104AYU: The Ferris Wheel In 1893, George Ferris engineered the Ferris wheel. It was 250 feet in diameter. If...
Problem 105AYU: Holding Pattern An airplane is asked to slay within a holding pattern near Chicago’s O'Hare...
Problem 106AYU: Projectile Motion A golfer hits a golf ball with an initial velocity of 100 miles per hour. The...
Problem 107AYU: Heat Transfer In the study of heat transfer, the equation x+tanx=0 occurs. Graph Y 1 =x and Y 2...
Problem 108AYU: Carrying a Ladder around a Corner Two hallways, one of width 3 feet, the other of width 4 feet, meet...
Problem 109AYU: Projectile Motion The horizontal distance that a projectile will travel in the air (ignoring air...
Problem 110AYU: Projectile Motion Refer to Problem 111. a. If you can throw a baseball with an initial speed of 40...
Problem 111AYU
Problem 112AYU
Problem 113AYU
Problem 114AYU
Problem 115AYU
Problem 116AYU
Problem 117AYU
Problem 118AYU
Problem 119AYU
Problem 120AYU
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