Problem 1RE: Convert 9628 to decimal degrees. Round to 2 decimal places. Problem 2RE: Convert 225.24 to DMS (degree-minute-second) form. Round to the nearest second if necessary. Problem 3RE: Convert 124 to radians. Give the answer in exact form in terms of . Problem 4RE: Convert 73.8 to radians. Round to 2 decimal places. Problem 5RE: Convert 58 radians to decimal degrees. Round to 1 decimal place if necessary. Problem 6RE: For Exercises 6-8, find a positive angle coterminal with the given angle. 48 Problem 7RE: For Exercises 6-8, find a positive angle coterminal with the given angle. 110 Problem 8RE: For Exercises 6-8, find a positive angle coterminal with the given angle. 35 Problem 9RE: For Exercises 9-11, find a negative angle coterminal with the given angle. 74 Problem 10RE: For Exercises 9-11, find a negative angle coterminal with the given angle. 56 Problem 11RE: For Exercises 9-11, find a negative angle coterminal with the given angle. 126 Problem 12RE: Find an angle between 0 and 360 that is coterminal to 745 . Problem 13RE Problem 14RE: A municide with a wheel diameter of 24in . moves through an angle of 140 . What distance does a... Problem 15RE: A pulley is 1.5ft in diameter. Find the distance the load will move if the pulley is rotated 750 .... Problem 16RE: Seattle, Washington 47.61N,122.33W , and San Francisco, California 37.78N,122.42W , have... Problem 17RE: A spinning disk has radius of 10in . and rotates at 2800rpm . For a point at the edge of the disk a.... Problem 18RE: A bicycle has wheels 26 inches in diameter. If the wheels turn at 90rpm , what is the linear speed... Problem 19RE: A sprinkler rotates through an angle of 75 spraying water outward for a distance of 6ft . Find the... Problem 20RE: A round pie 10in. in diameter is cut into a slice with a 30 angle. Find the exact area of the slice,... Problem 21RE: The real number t corresponds to the point P357,27 on the unit circle. Evaluate each expression. a.... Problem 22RE: Identify the ordered pair on the unit circle corresponding to each real number t . a. t=23 b. t=54... Problem 23RE: Identify the domain for each pair of functions. a. ft=sint,gt=cost b. ft=tant,ft=sect c.... Problem 24RE: For Exercises 24-29, use the unit circle and the period of the function to evaluate the function or... Problem 25RE: For Exercises 24-29, use the unit circle and the period of the function to evaluate the function or... Problem 26RE: For Exercises 24-29, use the unit circle and the period of the function to evaluate the function or... Problem 27RE: For Exercises 24-29, use the unit circle and the period of the function to evaluate the function or... Problem 28RE: For Exercises 24-29, use the unit circle and the period of the function to evaluate the function or... Problem 29RE: For Exercises 24-29, use the unit circle and the period of the function to evaluate the function or... Problem 30RE: For Exercises 30-31, use the even -odd and periodic properties of the trigonometric functions to... Problem 31RE: For Exercises 30-31, use the even -odd and periodic properties of the trigonometric functions to... Problem 32RE: Write cost in terms of sint for t in Quadrant IV. Problem 33RE: Write cott in terms of csct for t in Quadrant II. Problem 34RE: Suppose that a right triangle C has legs of length 5 cm and 2 cm. Evaluate the six trigonometric... Problem 35RE: Determine the values of the six trigonometric functions of for the given right triangle. Problem 36RE: For Exercises 36-37, construct a right triangle to find the indicated values. Assume is an acute... Problem 37RE: For Exercises 36-37, construct a right triangle to find the indicated values. Assume is an acute... Problem 38RE: For Exercises 38-39, evaluate the expression without the use of a calculator. sin3+tan6 Problem 39RE: For Exercises 38-39, evaluate the expression without the use of a calculator. cos45csc60 Problem 40RE: Given sin=99101 and cos=20101 , use the reciprocal and quotient identities to find the values of the... Problem 41RE: For Exercises 41-43, use an appropriate Pythagorean identity to find the indicated value for an... Problem 42RE: For Exercises 41-43, use an appropriate Pythagorean identity to find the indicated value for an... Problem 43RE: For Exercises 41-43, use an appropriate Pythagorean identity to find the indicated value for an... Problem 44RE: For Exercises 44-45, given the function value, find a cofunction of another angle with the same... Problem 45RE: For Exercises 44-45, given the function value, find a cofunction of another angle with the same... Problem 46RE: Use a calculator to approximate the function values. Round to 4 decimal places. a. tan23.8 b. cos58... Problem 47RE: An observer at the top of a 48-ft building measures the angle of depression from the top of the... Problem 48RE: During the first quarter moon, the Earth, Sun, and Moon form a right triangle. The distance between... Problem 49RE: Let P3,5 be a point on the terminal side of angle drawn in standard position. Find the values of... Problem 50RE: For Exercises 50-55, find the reference angle for the given angle. 56 Problem 51RE: For Exercises 50-55, find the reference angle for the given angle. 260 Problem 52RE: For Exercises 50-55, find the reference angle for the given angle. 200 Problem 53RE: For Exercises 50-55, find the reference angle for the given angle. 5 Problem 54RE: For Exercises 50-55, find the reference angle for the given angle. 74 Problem 55RE: For Exercises 50-55, find the reference angle for the given angle. 750 Problem 56RE: For Exercises 56-61, use reference angles to find the exact value. cos116 Problem 57RE: For Exercises 56-61, use reference angles to find the exact value. sin53 Problem 58RE: For Exercises 56-61, use reference angles to find the exact value. tan176 Problem 59RE: For Exercises 56-61, use reference angles to find the exact value. cot34 Problem 60RE: For Exercises 56-61, use reference angles to find the exact value. csc120 Problem 61RE: For Exercises 56-61, use reference angles to find the exact value. sec240 Problem 62RE: Identify which expressions are undefined. a. sec270 b. tan2 c. cot180 d. csc2 Problem 63RE: Given tan=23 and sin0 . Find sec . Problem 64RE: Given cos=37 and cot0 , find sin . Problem 65RE: Given sin=6061 and Quadrant III, find cot . Problem 66RE: For Exercises 66-69, determine the amplitude and period. y=4sin2x Problem 67RE: For Exercises 66-69, determine the amplitude and period. y=2cosx2 Problem 68RE: For Exercises 66-69, determine the amplitude and period. y=13cosx Problem 69RE: For Exercises 66-69, determine the amplitude and period. y=sin37x Problem 70RE: For Exercises 70-72, graph one period of the function y=cos3x Problem 71RE: For Exercises 70-72, graph one period of the function y=3sin2x Problem 72RE: For Exercises 70-72, graph one period of the function y=2cosx4 Problem 73RE: Determine the amplitude, period, and phase shift for each function. a. y=13cos2x+ b. y=5sin2x Problem 74RE: For Exercises 74-75, graph one period of the function. y=13cosx4 Problem 75RE: For Exercises 74-75, graph one period of the function. y=2sinx+3 Problem 76RE: For Exercises 76-77, determine the amplitude, period, phase shift, and vertical shift for each... Problem 77RE: For Exercises 76-77, determine the amplitude, period, phase shift, and vertical shift for each... Problem 78RE: For Exercises 78-79, graph one period of the function. y=cosx3+2 Problem 79RE: For Exercises 78-79, graph one period of the function. y=2sin2x+31 Problem 80RE: The depth of water along a coastal inlet varies with the tides. On a summer day, the water depth at... Problem 81RE: The data in the table represent the percentage of the moon illuminated for selected days in January... Problem 82RE: For Exercises 82-85, give the period of the function and the equations of two asymptotes. y=csc3x Problem 83RE: For Exercises 82-85, give the period of the function and the equations of two asymptotes. y=tan3x Problem 84RE: For Exercises 82-85, give the period of the function and the equations of two asymptotes. y=cotx+2 Problem 85RE: For Exercises 82-85, give the period of the function and the equations of two asymptotes. y=2secx+ Problem 86RE: For Exercises 86-89, graph one period of the function. y=5sec3x Problem 87RE: For Exercises 86-89, graph one period of the function. y=2cscx2 Problem 88RE: For Exercises 86-89, graph one period of the function. y=2secx+ Problem 89RE: For Exercises 86-89, graph one period of the function. y=3csc4x+2 Problem 90RE: For Exercises 90-91, graph two periods of the function. y=tan4x Problem 91RE: For Exercises 90-91, graph two periods of the function. y=2tanx3 Problem 92RE: y=cot2x Problem 93RE: y=cot2x+3 Problem 94RE: For Exercises 94-109, evaluate the expression. cos122 Problem 95RE: For Exercises 94-109, evaluate the expression. sin122 Problem 96RE: For Exercises 94-109, evaluate the expression. arctan33 Problem 97RE: For Exercises 94-109, evaluate the expression. arccos32 Problem 98RE: For Exercises 94-109, evaluate the expression. arcsin32 Problem 99RE: For Exercises 94-109, evaluate the expression. cos1cos76 Problem 100RE: For Exercises 94-109, evaluate the expression. tantan17 Problem 101RE: For Exercises 94-109, evaluate the expression. coscos10.35 Problem 102RE: For Exercises 94-109, evaluate the expression. arcsinsin76 Problem 103RE: For Exercises 94-109, evaluate the expression. sinsin123 Problem 104RE: For Exercises 94-109, evaluate the expression. cossin132 Problem 105RE: For Exercises 94-109, evaluate the expression. sinarccos32 Problem 106RE: For Exercises 94-109, evaluate the expression. sinarctan32 Problem 107RE: For Exercises 94-109, evaluate the expression. cossin125 Problem 108RE: For Exercises 94-109, evaluate the expression. tanarccos34 Problem 109RE: For Exercises 94-109, evaluate the expression. sincos114 Problem 110RE: Use a calculator to approximate the function values in both radians and degrees. a. sin10.35 b.... Problem 111RE: For Exercises 111-114, use a calculator to approximate the degree measure (to 1 decimal place) or... Problem 112RE: For Exercises 111-114, use a calculator to approximate the degree measure (to 1 decimal place) or... Problem 113RE: For Exercises 111-114, use a calculator to approximate the degree measure (to 1 decimal place) or... Problem 114RE: For Exercises 111-114, use a calculator to approximate the degree measure (to 1 decimal place) or... Problem 115RE: Write the given expression as an algebraic expression. It is not necessary to rationalize the... Problem 116RE: Find the lengths of sides a,b , and c to the nearest tenth of a meter and the measure of angle a to... Problem 117RE: The length of the perpendicular line segment BP from a rotating beacon to a straight shoreline is... Problem 118RE: Find the angle of repose for the pile of coarse gravel. Round to the nearest degree Problem 1T: Convert 15.36 to DMS (degree-minute-second) form. Round to the nearest second if necessary. Problem 2T: Convert 130.3 to radians. Round to 2 decimal places. Problem 3T: Find the exact length of the arc intercepted by a central angle of 27 on a circle of radius 5 ft. Problem 4T: A skateboard designed for rough surfaces has wheels with diameter 60 mm. If the wheels turn at 2200... Problem 5T: A pulley is 20 in. in diameter. Through how many degrees should the pulley rotate to lift a load 3... Problem 6T: A circle has a radius of 9 yd. Find the area of a sector with a central angle of 120 . Problem 7T: For an acute angle if sin=56 evaluate cos and tan . Problem 8T: Evaluate tan 6cot6 without the use of a calculator. Problem 9T: Given sin=513 , use a Pythagorean identity to find cos . Problem 10T: Given sec75=2+6 , find a cofunction of another angle with the same function value. Problem 11T: Use a calculator to approximate sin sin211 to 4 decimal places. Problem 12T: A flag pole casts a shadow of 20 ft when the angle of elevation of the Sun is 40 . How tall is the... Problem 13T: A newly planted tree is anchored by a covered wire running from the top of the tree to a post in the... Problem 14T: For Exercises 14-21, evaluate the function or state that the function is undefined at the given... Problem 15T: For Exercises 14-21, evaluate the function or state that the function is undefined at the given... Problem 16T: For Exercises 14-21, evaluate the function or state that the function is undefined at the given... Problem 17T: For Exercises 14-21 evaluate the function or state that the function is undefined at the given... Problem 18T: For Exercises 14-21 evaluate the function or state that the function is undefined at the given... Problem 19T: For Exercises 14-21 evaluate the function or state that the function is undefined at the given... Problem 20T: For Exercises 14-21 evaluate the function or state that the function is undefined at the given... Problem 21T: For Exercises 14-21, evaluate the function or state that the function is undefined at the given... Problem 22T: Given sin=58 andcos0 , findtan . Problem 23T: Given sec=43 and sin0 find csc . Problem 24T: Given tan=43 and is in Quadrant IV, find sec . Problem 25T: For Exercises 25-28, select the trigonometric function, ft=sint,gt=cost,ht=tantorrt=cott , with the... Problem 26T: For Exercises 25-28, select the trigonometric function, ft=sint,gt=cost,ht=tantorrt=cott , with the... Problem 27T: For Exercises 25-28, select the trigonometric function, ft=sint,gt=cost,ht=tantorrt=cott , with the... Problem 28T: For Exercises 25-28, select the trigonometric function, ft=sint,gt=cost,ht=tantorrt=cott , with the... Problem 29T: Use the even-odd and periodic properties of the trigonometric functions to simplify cos2sin2cot+ Problem 30T: Suppose that a rectangle is bounded by the x-axis and the graph of y=sinx on the interval 0, . a.... Problem 31T: For Exercises 31-32, determine the amplitude, period, phase shift, and vertical shift for each... Problem 32T: For Exercises 31-32, determine the amplitude, period, phase shift, and vertical shift for each... Problem 33T: For Exercises 33-36, graph one period of the function. y=2sinx Problem 34T: For Exercises 33-36, graph one period of the function. y=3cos2x Problem 35T: For Exercises 33-36, graph one period of the function. y=sin2x4 Problem 36T: For Exercises 33-36, graph one period of the function. y=32cos2x Problem 37T: Write a function of the form fx=AcosBx for the given graph. Problem 38T: Identify each statement as true or false. If a statement is false, explain why. a. The relative... Problem 39T: For Exercises 39-40, graph one period of the function. y=4sec2x Problem 40T: For Exercises 39-40, graph one period of the function. y=csc2x4 Problem 41T: For Exercises 41-42, graph two periods of the function. y=tan3x Problem 42T: For Exercises 41-42, graph two periods of the function. y=4cotx+4 Problem 43T: Simplify each expression. a. sin132+cos122 b. cosarctan3 Problem 44T: Use a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to... Problem 45T: Find the exact value of sin1sin116 . Problem 46T: Find the exact value of tancos178 Problem 47T Problem 48T: Write the expression tancos1xx2+25 for x0 as an algebraic expression. Problem 49T: A radar station tracks a plane flying at a constant altitude of 6mi on a path directly over the... Problem 1CRE: For Exercises 1-9, solve the equations and inequalities. Write the solution set to inequalities in... Problem 2CRE Problem 3CRE: For Exercises 1-9, solve the equations and inequalities. Write the solution set to inequalities in... Problem 4CRE: For Exercises 1-9, solve the equations and inequalities. Write the solution set to inequalities in... Problem 5CRE Problem 6CRE Problem 7CRE: For Exercises 1-9, solve the equations and inequalities. Write the solution set to inequalities in... Problem 8CRE Problem 9CRE: For Exercises 1-9, solve the equations and inequalities. Write the solution set to inequalities in... Problem 10CRE Problem 11CRE: Given y=x2+2x4 a. Identify the vertex. b. Write the domain and range in interval notation. Problem 12CRE: Given fx=x42x34x2+8x, a. Find the x -intercepts of the graph of f b. Determine the end behavior of... Problem 13CRE: a. Graph y=3x2+x53x2 . b. Identify the asymptotes. Problem 14CRE: Given y=2sin4x6, identify the a. Domain and range in interval notation. b. Amplitude. c. Period. d.... Problem 15CRE: Given fx=tanx and gx=x2 evaluate a. fog2 b. g+f Problem 16CRE Problem 17CRE: Evaluate tanarcsin38 . Problem 18CRE: Write the logarithm as the sum or difference of logarithms. Simplify as much as possible. logx2y100z Problem 19CRE: Divide. Write the answer in standard form, a+bi.28i35i Problem 20CRE: Suppose that y varies inversely as x and directly as z . If y is 12 when x is 8 and z is 3 , find... format_list_bulleted
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage