Match each trigonometric function with one of the graphs. - v f (x) = tanz V - v f (I) = CCI f (z) = cotx 5 4 3 X 1. 2 X -2x 1 -2 2. 3 RX 2 x 3 x 2 2\fShow your work and explain, in your own words, how you arrived at your answers. Simply entering the equation into a graphing program and reading the results does not demonstrate an understanding of this topic. 125 Equation A - A- I. BIUSX X Editor Styles Font Size Words: 0Sketch two periods of the graph of the function h (x) = 4sec (# (x + 1) ). Identify the stretching factor, period, and asymptotes. Enter the exact answers. Stretching factor = Number sin (a) Period: P = Enter the asymptotes of the function on the domain [- P, P]. To enter 7, type Pi.The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or c + 1; x -1). The order of the list does not matter. Asymptotes: D = Select the correct graph of h (x) = 4sec ( " (x + 1) ). 10 6 4 O -2 2 4 -2 -6Sketch two periods of the graph of the function p (x) = tan (x . Identify the stretching factor, period, and asymptotes. Enter the exact answers. For the number , either choose a from the bar at the top or type in Pi (with a capital P). Stretching factor = Number sin (a) ? Period: P = Enter the asymptotes of the function on the domain [-P, P]. To enter 7. type Pi.The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 0 + + 1; -1). The order of the list does not matter. Asymptotes: I = Select the correct graph of p (x) = tan (x - V 6 4 2 X O N 2 x WA 2 14 6A laser rangefinder is locked on a comet approaching Earth. The distance g (@), in kilometers, of the comet after a days, for a in the interval 0 to 36 days, is given by g (x) = 150,000 csc 36 a. Select the graph of g (x) on the interval [0, 42]. 1. x 10' 8. x 106 6. x 105 4. x 105 2. x 10 O 0 -2. x 106 6 12 18 24 30 36 42 -4. x 10 -6. x 109 -8. x 105 -1. x 10'\f1. x 10' 8. x 106 6. x 10 4. x 10 2. x 106 O 0 -2. x 105 6 12 18 24 30 36 42 -4. x 109 -6. x 10 -8. x 106 -1. x 10' b. Evaluate g (6). Enter the exact answer. 9 (6) = Number c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond?c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? The minimum distance between the comet and Earth is Number km which is the Click for List It occurs at Number days. d. Find and discuss the meaning of any vertical asymptotes on the interval [0, 42]. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x +1; x -1). The order of the list does not matter. At the vertical asymptotes the comet is Click for ListUse the fundamental identities In full}; simplify sin {3} cos {3} sec { It}. Enclose arguments of functions in parentheses. For example= sin {2.1:}. sin [3) cos {3} see [3] = Simplify the trigonometric expression below by writing the simplified form in terms of sinc. Enclose arguments of functions in parentheses. For example, sin (2x). sin (a) tanr+ cot c = SECTUsing the sum and difference of cosines formula, find the exact value of cos 57T 12 Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 + n). sin (a) 00 COS 12 = Show your work and explain, in your own words, how you arrived at your answer.If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t) algebraically without solving for t. Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 + n). sin (2 t) = cos (2 t) = tan (2 t) = Show your work and explain, in your own words, how you arrived at your answer for sin (2 t )