Question

answer pata ho tabhi batana prove each of the following identities: (sec^2 theta -1)cot^2 theta=1​

Answer 1

Hiii.....friend,

Here is ur answer,

$= > ( {sec}^{2} \alpha - 1) {cot}^{2} \alpha$

We know that

$= > {sec}^{2} \alpha - {tan}^{2} \alpha = 1$

$= > {sec}^{2} \alpha - 1 = {tan}^{2} \alpha$

So,

$= > {tan}^{2} \alpha . {cot}^{2} \alpha$

=> 1.

:-) Hope it helps u.