Which of the following are equal to sec x? Choose all that apply. O A. sin x O B. COS X O C. cosx tan x O D. tan x sin X O E. cot x sin x O F. tan x csc xWhich of the following identities are true? Select all that apply. O A. csc 8 = sin & O B. sin 8 cot 8 = cose O C. 1+cot2 0 = csc20 O D. sin (-x ) = sin x O E. cos (-x) = Cos x\fSydney simplifies the expression 2csc (x-y) with the work below. What did she do wrong? 2 2 csc ( x - y) = sin ( x - y) 2 = cos xcos ( -y ) + sin xsin (->) 2 = cos xcos y - sin x sin y 2 = cos ( xty ) = 2sec ( x + y) O A. csc 8 * 1 sin 8 O B. sin (a- B) # cos axcos B + sin asin B O C. sin (-8) # -sin 8 O D. cosacos B- sin Cesin B# cos (a+ 8)The work done by a force is given by the expression W: Fd cos 3. where F is the magnitude of the force. at is the distance traveled. and 6 is the angle of the applied force to the direction of motion. Caloulate the amount of work done by a 5 N toroe acting at a ?5-degree angle to move a box 30 m. The proof for sec (x + y ) = sec x sec yesc xcscy is shown below. What expression is missing from the second line of the proof? csc x cscy- sec xsec y sec ( x + y ) = cos ( x+ y) sec ( x + y ) = cosxcosysin xsin y sec ( x + ) ) = cosxcosy-sin xsiny cos xcosysin xsin y 1 cosx cosy sin x sin y sec ( x + y ) = sin x siny COS X COSY sec xsec y csc xcsc y sec ( x+ y) csc x cscy- sec xsec y O A. 1 cos xcosy - sin x sin y O B. cos xcosy + sin x sin y O C. sin xsin y - cos xcos y\fUse the image to answer the question. The stand on a camera can be tilted to a maximum of 15' above the horizontal. If a photographer wants to take a picture of the top of a 90 it. building with the camera on the ground, how far back must he piece the camera? Use a half-angle identity to choose the expression that beat nds the distance. \f' 6 Which of the following identities can you use to help you show that tan(3x) = % ? Select all that apply. C] A. sin(29) = 25in9c059 C] 3- cos(26') = 2c0326-1 C] C_ 2tan9 100 ft. 100 ft. Use the image to answer the question. A construction crew has two 100 ft. beams with which to form the walls of a tent that needs to be 30 ft. high. At what angle do the).r need to place the beams into the ground in order to form their tent? Round your answer to the nearest tenth of a degree. \fC 8 cm 16 cm 53 A B Use the image to answer the question. Jose labels the triangle shown. Is this the only triangle he can draw with a 16 cm side opposite a 53" angle and an 8 cm side adjacent to the 53 angle?. yes, because A is acute and 0 dz . yes, because A is acute and a > b . no, because A is obtuse and a s b . no, because A is acute and h (a