Aperson is on the outer edge of a carousel that is rotating counterclockwise. Using the unit circle to model the carousel. what is the exact position ofthe rider aer the carousel rotates % radians? 4'4 0 6- [M ] 0 8 _-46-_46+45] [ W W] [ O O 0045 6;. :66 433 4 Find the exact value of tan 12 O A. 3+2 O B. 13-2 O C. -3+2 O D. -3-2Mary used the formula sin 50 cos 20 - cos 50 sin 20 to solve a problem. Which of the following identities does this simplify to? O A. cos 300 - V3 2 O B. cos 70 = O C. sin 700 =. V3 2 O D. sin 300 = _Prove cos 8 = sin 8. O A. cos -8 = cos - cos 8- sin - sin & = sin 0 2 2 O B. cos @ = cos - sin & + sin -cos & = sin 8 2 2 2 O C. cos - = cos - cos #+ sin -sin 8 = sin 0 N 2 2 O D. cos & = cos -sin &- sin -cos & = sin 8 N 2Prove cot - - X = tan x . O A. COS . - cos x - sin - sin x cot 2 2 - X = tan x sin - cos x +cos - sin x O B. COS . - sin x +cos -sin x 2 cot - X = = tan x sin - sin x - cos s- sin x O C. Cos - sin x - cos - sin x 2 cot - X = = tan x sin - sin x + cos - sin x 2 O D. COS - - cos x + sin -sin x cot - X = = tan x sin -Cos X - COS - sin x N