13. (10 pts) Show work (a) Find the exact value of arcsec(2). (b ) Find the exact value of tan arccos V2 2 (c ) Find the exact value of arccos COS 4TT 2 (d) Find the exact value of arcsin cot 3It 3 (e ) Using a calculator, find arccos(0.3814), rounded to four decimal places.2. (6 pts) Using a calculator to help you find each of the following values, rounding the result to four decimal places. Be sure your calculator is in the proper angle measurement model! (a) sin(28.50) (b) sec(28.59 ) (c) cos(47/7)3. (12 pts) Suppose that the point (-7, v15) lies on the terminal side of an angle O in standard position. Find the exact values of the six trigonometric functions of 0. Work optional. Rationalize denominators as appropriate. sin( 0 ) = cos( 0 ) = tan( 0 ) = csc( 0 ) = sec( 0 ) = cot( 0 ) = I12. (10 pts) Prove the identity tan(0) + cot(0) = sec(@)csc(@). HINT: Rewrite each side of the expression using sines and cosines, simplify and apply a Pythagorean identity. Show work.For #4, you are welcome to use the following template if you like - just edit the labels (" ") as desired. 4. (9 pts) Given a right triangle having an acute angle O of 12 and an adjacent side of length 21.0, find the measurement of the other angle and the other sides. Show work. Be sure to clearly identify which of your answers is the length of the side opposite to O and which is the length of the hypotenuse, as well as stating the measure of the other acute angle. Report the lengths rounded to one decimal place.8. (9 pts) Given that cos(0) = - 3/5 for an angle O in Quadrant II, find the exact values of each of the following. Show work. Rationalize denominators as appropriate. (a) sin(0 ) (b) cos(20) (c) sin(20 )1. (6 pts) NOTE: For (b) and (c), your answers may involve square roots. Rationalize denominators where appropriate. (a) State the reference angle associated with 3150. (b) State the exact value of sin(3150). (c) State the exact value of tan(51/3).6. (10 pts) A person is sitting on the ground between the Acme and Baker buildings. The person is 48 feet from the Acme building. The Baker building is 47.2 feet tall. From the person's point of view, the angle of elevation to the top of the Acme building is 73 and the angle of elevation to the top of Baker building is 60. Show work in answering the following questions: (a) How tall is the Acme building? (b) How far apart are the two buildings? Report the values to the nearest tenth of a foot. Acme Baker 47.2' 730 6010. (8 pts) Find all of the exact solutions of the equation sin(2x) = 1/2 in the interval [0, 27t).7. (6 pts) Consider y = 9sin 5t 2TT (no explanation required) 3 (a) State the amplitude. (b ) State the period. (c) State the phase shift.5. (7 pts) Use a sum or a difference identity to find the exact value of sin (2850). Show work.9. (6 pts) Consider y = 9sin 5t 2 TT (no explanation required) 3 (a) State the amplitude. (b) State the period. (c) State the phase shift