Question

I need help with 35 prove or disprove the identity

Answer 1

For this case we have the following expression:

`\csc ^2x(1+\sin ^2x)=\cot ^2x`

For this case we can do the following:

`\csc ^2x+\csc ^2x\sin ^2x=(1)/(\sin^2x)+(1)/(\sin^2x)\cdot\sin ^2x=(1)/(\sin^2x)+1=(1+\sin ^2x)/(\sin ^2x)`

But from this is not possible to show that is equal to cot^2 (x)

So then we can disprove the identity