Question

Tan(45+theta)-cot(45+theta)

Answer 1

Here is ans

Tan(45 + theta)- cot(45 + theta)

= cot (90- 45 +theta) - cot(45 + theta)

=cot (45+ theta) - cot (45 + theta)

=0

Answer 2

Tan(45+theta)-cot(45+theta)

=tan45+tan(theta)/1-tan45×tan(theta)-cot45×cot(theta)-1/cot45+cot(theta)

[Here I am denoting theta as'@']

=1+tan@/1-tan@-cot@-1/1+cot@

Simplifying this in terms of cos and sin you will get the answer.

Hope this hint helps you...