Question

cos8+sin8/cos8-sin8=cot37

Answer 1

sin8 + cos8 / sin8 - cos8

=1 + cot8 / 1 - cot8

= 1 + cot45 cot8 / cot45 - cot8

= cot (45-8)

= cot37

= 1 / tan37

=tan37

Hope it helps u.

Answer 2

it is nt cot .as per my knowledge it is tan because tan= cos/ sin.then your answer is
Rhs=tan37
tan(45-8)
tan45-tan8/1+ tan 45+tanu
1-tan8/1+tan8