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Tan square theta -sin square theta=tan square theta sin square theta

Answer»

Here i have used X instead of theta

To prove : tan²x - sin²x=tan²xsin²x
Proof:
LHS= tan²x - sinx
=sin²x/cos²x - sin²x
Taking L.C.M we get
LHS=(Sin²x-sin²x. cos²x) /cos²x
= sin²x (1 - cos²x) /cos²x
=tan²x. sin²x
(1-cos²x=sin²x)



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