Question

How do you simplify the expression `csc^2x-1`?

Answer 1

`csc^2x-1` is equal to `cot^2x`

Explanation:

Use the identity:
`sin^2x+cos^2x=1`

Divide each term in the identity by `sin^2theta`
`1+cot^2x=csc^2x`

Subtract 1 from each side:
`cot^2x=csc^2x-1`