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.... format_list_bulleted