Question

Verify the identity 1 - sin^2 x cot^2 x = sin^2 x. Is there more than one way to verify the identity? If so, tell which way you think is easier and why.

Answer 1

the given identity is true.

Explanation:

this identity may be verified using several ways, the simpliest is:

1-sin^2xcot^2x=sin^2x;

`1-sin^2x*(cos^2x)/(sin^2x)=sin^2x;`

1-cos^2 x=sin^2 x;

sin^2 x= sin^2 x.