Question

1/cot^2theta + 1/1+ tan^2theta =1/1-sin^2theta - 1/cosec^2theta . pls tell me the answer

Answer 1

What to do?? Is this to be proved? If is it so, here is your amswer,

Given :- 1/cot²© + 1/ (1+tan²©) = 1/ (1-sin²©) - 1/cosec²©

Proof,

Take the LCM both sides.

=> 1 + tan²© + cot²©/ cot²©+1 = cosec²© - 1 + sin²©/ cosec²© - 1

=> cosec²© + tan²© / cosec²© = cot²© +sin²©/ cot²©

=> cot²©•cosec²© + q = cosec²©•cot²© + 1

Hence, LHS = RHS.

Proved!