Perform the indicated operations and simplify the result Csc

Perform the indicated operations and simplify the result. Csc theta(sin theta + cos theta) 1 + cot theta sec theta csc theta sin theta tan theta -2 tan^2 theta

Solution

Csc theta(sin theta +cos theta)

Csc theta =1/sin theta

(1/sin theta)(sin theta + cos theta)

(1/sin theta) sin theta + (1/sin theta)cos theta = 1+ cot theta

Correct option is A