Question

tan theta +cot theta =2 sec theta​

Answer 1

sin theta / cos theta +cos theta / sin theta

= sin^2 theta + cos^2 theta /cos theta × sin theta

= 1/ cos theta × sin theta = 2sec theta

Answer 2

Step-by-step explanation:

sin theta / cos theta + cos theta / sin theta = 2sec theta

or, sin²theta + cos²theta /sin theta cos theta = 2 sec theta

or, 1/ 2sin theta cos theta = sec theta

or, 1/ sin 2 theta = sec theta

or, cosec 2 theta = sec theta

or, sec(90- 2 theta) = sec theta

.°. 90 - 2theta = theta

or, 3 theta = 90

or, theta = 30