Question

cos square theta + 1/1+cot square theta =1

Answer 1

Hope this helps.....

Answer 2

Answer and Explanation:

To prove : $\cos^2\theta+\frac{1}{1+\cot^2\theta}=1$

Proof :

Taking LHS,

$\cos^2\theta+\frac{1}{1+\cot^2\theta}$

We know, $1+\cot^2\theta=csc^2\theta$

$=\cos^2\theta+\frac{1}{csc^2\theta}$

We know, $\frac{1}{csc^2\theta}=\sin^2\theta$

$=\cos^2\theta+\sin^2\theta$

We know, $\cos^2\theta+\sin^2\theta=1$

$=1$

= RHS

So, LHS=RHS hence proved.