Question

1. (Tan ө + cos ө)/ (sec ө + cot ө)


2. (Tan ө + cot ө)/ sec ө

Answer 1

2. Try making that
(sin theta/cos theta)*cos theta
+ (cos theta/sin theta)*cos theta
= sin theta + (1 - sin^2 theta)/sin theta
= sin theta + cos theta cot theta

1. Try similar tricks with that one yourself. Write tan, cot and sec in terms of sin and cos