Question

Find an expression equivalent to 1-sinx ^2/1-cosx ^2

Answer 1

cot²x

Explanation:

Using the identity

sin²x + cos²x = 1, then

1 - sin²x = cos²x

1 - cos²x = sin²x

Thus

`(1-sin^2x)/(1-cos^2x)` =
`(cos^2x)/(sin^2x)` = cot²x