Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Precalculus
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sec( 5 )76AYUIn Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 2 40 + cos 2 40In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sec 2 18 - tan 2 18In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 80 cos80In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. tan 10 cot10In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. tan 40 - sin 40 cos 40In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. cot 20 - cos 20 sin 20In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. cos 400 sec40In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. tan 200 cot20In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin( 12 )csc 25 12In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sec( 18 )cos 37 18In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin( 20 ) cos 380 + tan200In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 70 cos( 430 ) +tan( 70 )If sin=0.3 , find the value of: sin+sin( +2 )+sin( +4 )If cos=0.2 , find the value of: cos+cos( +2 )+cos( +4 )If tan=3 , find the value of: tan+tan( + )+tan( +2 )If cot=2 , find the value of: cot+cot( - )+cot( -2 )Find the exact value of: sin 1 + sin2 + sin3 ++ sin358 + sin359Find the exact value of: cos 1 + cos2 + cos3 ++ cos358 + cos359What is the domain of the sine function?What is the domain of the cosine function?For what numbers is f( )=tan not defined?For what numbers is f( )=cot not defined?For what numbers is f( )=sec not defined?For what numbers is f( )=csc not defined?What is the range of the sine function?What is the range of the cosine function?What is the range of the tangent function?What is the range of the cotangent function?What is the range of the secant function?What is the range of the cosecant function?Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?Is the cosine function even, odd, or neither? Is its graph symmetric? With respect to what?Is the tangent function even, odd, or neither? Is its graph symmetric? With respect to what?Is the cotangent function even, odd, or neither? Is symmetric? With respect to what?Is the cotangent function even, odd, or neither? Is symmetric? With respect to what?Is the cotangent function even, odd, or neither? Is symmetric? With respect to what?In Problems 113-118, use the periodic and even-odd properties. If f( )=sin and f( a )= 1 3 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a+4 )In Problems 113-118, use the periodic and even-odd properties. If f( )=cos and f( a )= 1 4 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a-2 )In Problems 113-118, use the periodic and even-odd properties. If f( )=tan and f( a )=2 , find the exact value of: (a) f( a ) (b) f( a )+f( a+ )+f( a+2 )In Problems 113-118, use the periodic and even-odd properties. If f( )=cot and f( a )=3 , find the exact value of: (a) f( a ) (b) f( a )+f( a+ )+f( a+4 )In Problems 113-118, use the periodic and even-odd properties. If f( )=sec and f( a )=4 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a+4 )In Problems 113-118, use the periodic and even-odd properties. If f( )=csc and f( a )=2 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a+4 )Calculating the Time of a Trip From a parking lot, you want to walk to a house on the beach. The house is located 1500 feet down a paved path that parallels the ocean, which is 500 feet away. See the illustration. Along the path you can walk 300 feet per minute, but in the sand on the beach you can only walk 100 feet per minute. The time T to get from the parking lot to the beach house expressed as a function of the angle shown in the illustration is T( )=5- 5 3tan + 5 sin , 0 2 Calculate the time T if you walk directly from the parking lot to the house. [Hint: tan= 500 1500 .]Calculating the Time of a Trip Two oceanfront homes are located 8 miles apart on a straight stretch of beach, each a distance of 1 mile from a paved path that parallels the ocean. Sally can jog 8 miles per hour on the paved path, but only 3 miles per hour in the sand on the beach. Because a river flows directly between the two houses, it is necessary to jog in the sand to the road, continue on the path, and then jog directly back in the sand to get from one house to the other. See the illustration. The time T to get from one house to the other as a function of the angle shown in the illustration is T( )=1+ 2 3sin - 1 4tan , 0 2 (a) Calculate the time T for tan= 1 4 . (b) Describe the path taken. (c) Explain why must be larger than 14 .121AYU122AYU123AYU124AYU125AYU126AYU127AYU128AYU129AYU130AYU131AYU132AYU133AYU134AYU135AYU136AYUUse transformations to graph y=3 x 2 . (pp. 106-114)Use transformations to graph y= 2x . (pp. 106-114)The maximum value of y=sinx , 0x2 , is ____ and occurs at x= _____.The function y=Asin( x ) , A0 ,has amplitude 3 and period 2; then ____ and ____.The function y=3cos( 6x ) has amplitude ____ and period ____.True or False The graphs of y=sinx and y=cosx are identical except for a horizontal shift.True or false For y=2sin( x ) , the amplitude is 2 and the period is 2 .True or False The graph of the sine function has infinitely many x-intercepts .f( x )=sinx (a) What is the y-intercept of the graph of f ? (b) For what numbers x , x , is the graph of f increasing? (c) What is the absolute maximum of f ? (d) For what numbers x , 0x2 , does f( x )=0 ? (e) For what numbers x , -2x2 , does f( x )=1 ? Where does f( x )=-1 ? (f) For what numbers x , -2x2 , does f( x )=- 1 2 ? (g) What are the x-intercept of f ?g( x )=cosx (a) What is the y-intercept of the graph of g ? (b) For what numbers x , x , is the graph of g increasing? (c) What is the absolute maximum of g ? (d) For what numbers x , 0x2 , does g( x )=0 ? (e) For what numbers x , -2x2 , does g( x )=1 ? Where does g( x )=-1 ? (f) For what numbers x , -2x2 , does g( x )= 3 2 ? (g) What are the x-intercept s of g ?11AYU12AYU13AYU14AYU15AYU16AYU17AYU18AYU19AYU20AYUIn Problems 23-32, match the given function to one of the graphs (A)-(J). y=2sin( 2 x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 2 x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 1 2 x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=3cos( 2x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=3sin( 2x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2sin( 1 2 x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 1 2 x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 2 x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=3sin( 2x )In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2sin( 1 2 x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=4cosxIn Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3sinxIn Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=4sinxIn Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3cosxIn Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=cos( 4x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=sin( 3x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=sin( 2x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=cos( 2x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2sin( 1 2 x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2cos( 1 4 x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y= 1 2 cos( 2x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=4sin( 1 8 x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2sinx+3In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3cosx+2In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=5cos( x )3In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=4sin( 2 x )2In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=6sin( 3 x )+4In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3cos( 4 x )+2In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=53sin( 2x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=24cos( 3x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y= 5 3 sin( 2 3 x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y= 9 5 cos( 3 2 x )In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=- 3 2 cos( 4 x )+ 1 2In Problems 33-56, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y= 1 2 sin( 8 x )+ 3 2In Problems 57-60, write the equation of a sine function that has the given characteristics. Amplitudes: 3 Period:In Problems 57-60, write the equation of a sine function that has the given characteristics. Amplitudes: 2 Period: 4In Problems 57-60, write the equation of a sine function that has the given characteristics. Amplitudes: 3 Period: 2In Problems 57-60, write the equation of a sine function that has the given characteristics. Amplitudes: 4 Period: 1In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 61-74, find an equation for each graph.In Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=sinxIn Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=cosxIn Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=sin x 2In Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=cos( 2x )In Problems 79-82, find ( fg ) (x) and (gf) ( x ) , and graph each of these functions. f( x )=sinx g( x )=4x78AYU79AYU80AYU81AYU82AYU83AYU84AYU85AYU86AYUAlternating Current (ac) Circuits The current I , in amperes, flowing through an ac (alternating current) circuit at time t , in seconds, is I( t )=220sin( 60t )t0 What is the period? What is the amplitude? Graph this function over two periods.Alternating Current (ac) Circuits The current I , in amperes, flowing through an ac (alternating current) circuit at time t , in seconds, is I(t)=120sin(30t)t0 What is the period? What is the amplitude? Graph this function over two periods.89AYU90AYU91AYU92AYU93AYU94AYU95AYU97AYU96AYU98AYU99AYU100AYU101AYU102AYU103AYU104AYU105AYU106AYU107AYU108AYUThe graph of y= 3x6 x4 has a vertical asymptote. What is it? (pp. 224-227)True or False If x=3 is a vertical asymptote of a rational function R , then lim x3 | R( x ) |= . (pp. 224-227)The graph of y=tanx is symmetric with respect to the ______ and has vertical asymptotes at ________________.The graph of y=secx is symmetric with respect to the _______ and has vertical asymptotes at _______________.It is easiest to graph y=secx by first sketching the graph of _____. (a) y=sinx (b) y=cosx (c) y=tanx (d) y=cscxTrue or False The graphs of y=tanx,y=cotx,y=secx,andy=cscx each have infinitely many vertical asymptotes.In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. What is the y-intercept of y=tanx ?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. What is the y-intercept of y=cotx ?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. What is the y-intercept of y=secx ?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. What is the y-intercept of y=cscx ?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. For What numbers x,2x2 , does secx=1 ? For what numbers x does secx=1 ?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. For What numbers x,2x2 , does cscx=1 ? For what numbers x does cscx=1 ?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. For What numbers x,2x2 , does the graph of y=secx have vertical asymptotes?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. For What numbers x,2x2 , does the graph of y=cscx have vertical asymptotes?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. For What numbers x,2x2 , does the graph of y=tanx have vertical asymptotes?In Problems 7-16, if necessary, refer to the graphs of the functions to answer each question. For What numbers x,2x2 , does the graph of y=cotx have vertical asymptotes?In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3tanxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2tanxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=4cotxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3cotxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=tan( 2 x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=tan( 1 2 x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=cot( 1 4 x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=cot( 4 x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2secxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y= 1 2 cscxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3cscxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=4secxIn Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=4sec( 1 2 x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y= 1 2 csc( 2x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2csc( x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3sec( 2 x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=tan( 1 4 x )+1In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2cotx1In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=sec( 2 3 x )+2In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=csc( 3 2 x )In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y= 1 2 tan( 1 4 x )2In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3cot( 1 2 x )2In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=2csc( 1 3 x )1In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y=3sec( 1 4 x )+1In Problems 41-44, find the average rale of change of f from 0 to 6 . f( x )=tanxIn Problems 41-44, find the average rale of change of f from 0 to 6 . f( x )=secxIn Problems 41-44, find the average rale of change of f from 0 to 6 . f( x )=tan( 2x )In Problems 41-44, find the average rale of change of f from 0 to 6 . f( x )=sec( 2x )In Problems 45-48, find ( fg )( x )and( gf )( x ) graph each of these functions. f( x )=tanx g( x )=4xIn Problems 45-48, find ( fg )( x )and( gf )( x ) graph each of these functions. f( x )=2secx g( x )= 1 2 xIn Problems 45-48, find ( fg )( x )and( gf )( x ) graph each of these functions. f( x )=2x g( x )=cotxIn Problems 45-48, find ( fg )( x )and( gf )( x ) graph each of these functions. f( x )= 1 2 x g( x )=2cscxIn Problems 49 and 50, graph each function. f( x )={ tanx0x 2 0x= 2 secx 2 xIn Problems 49 and 50, graph each function. g( x )={ cscx0x 0x= cotxx2Carrying a Ladder around a Corner Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right angle. See the illustration. (a) Show that the length L of the ladder shown as a function of the angle is L( )=3sec+4csc (b) Graph L=L( ),0 2 (c) For what value of is L the least? (d) What is the length of the longest ladder that can be carried around the corner? Why is this also the least value of L ?A Rotating Beacon Suppose that a fire truck is parked in front of a building as shown in the figure. The beacon light on top of the fire truck is located 10 feet from the wall and has a light on each side. If the beacon light rotates 1 revolution every 2 seconds, then a model for determining the distance d , in feet, that the beacon of light is from point A on the wall after t seconds is given by d( t )=| 10tan( t ) | (a) Graph d( t )=| 10tan( t ) | for 0t2 . (b) For what values of t is the function undefined? Explain what this means in terms of the beam of light on the wall. (c) Fill in the following table. (d) Compute d( 0.1 )d( 0 ) 0.10 , d( 0.2 )d( 0.1 ) 0.20.1 , and so on, for each consecutive value of t . These are called first differences. (e) Interpret the first differences found in part ( d ) . What is happening to the speed of the beam of light as d increases?Exploration Graph y=tanxandy=cot( x+ 2 ) Do you think that tanx=cot( x+ 2 ) ?For the graph of y=Asin( x ) , the number is called the _______ ________.True or False A graphing utility requires only two data points to find the sine function of best fit.In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=4sin( 2x )In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=3sin( 3x )In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=2cos( 3x+ 2 )In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=3cos( 2x+ )In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=3sin( 2x+ 2 )In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=2cos( 2x 2 )In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=4sin( x+2 )5In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=2cos( 2x+4 )+4In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=3cos( x2 )+5In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=2cos( 2x4 )1In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=3sin( 2x+ 2 )In Problems 3-14, find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y=3cos( 2x+ 2 )In Problems 15-18, write the equation of a sine function that has the given characteristics. Amplitude:2 Period: Phaseshift: 1 2In Problems 15-18, write the equation of a sine function that has the given characteristics. Amplitude:3 Period: 2 Phaseshift:2In Problems 15-18, write the equation of a sine function that has the given characteristics. Amplitude:3 Period:3 Phaseshift: 1 3In Problems 15-18, write the equation of a sine function that has the given characteristics. Amplitude:2 Period: Phaseshift:219AYU20AYU21AYU22AYU23AYU24AYU25AYU26AYU27AYU28AYU29AYU30AYU31AYU32AYU33AYU34AYU35AYU36AYU37AYU38AYU39AYU40AYUIn problems 714, find the exact value of each expression. Do not use a calculator. sin11In problems 714, find the exact value of each expression. Do not use a calculator. cos103RE4RE5RE6RE7RE8RE9REFind the exact value, if any, of each composite function. If there is no value, say it is “not defined.� Do not use a calculator. cos 1 ( cos 3 4 )Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.� Do not use a calculator. tan 1 ( tan 2 3 )12REFind the exact value, if any, of each composite function. If there is no value, say it is “not defined.� Do not use a calculator. cos 1 ( cos 15 7 )Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.� Do not use a calculator. sin 1 [ sin( 8 9 ) ]Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.� Do not use a calculator. sin( sin 1 0.9 )Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.� Do not use a calculator. cos( cos 1 0.6 )17RE18RE19RE20RE21RE22RE23RE24RE25RE26RE27RE28RE29RE30RE31RE32RE33RE34RE35RE36RE37RE