Question

How do you verify the identify `sec^2theta-tan^2theta=1`?

Answer 1

Verify trig identity

Explanation:

Since:
`sec^2 t = 1/(cos^2 t)`
`1 - sin^2 t = cos^2 t`
We get:
`1/(cos^2 t) - (sin^2 t)/(cos^2 t) = (1 - sin^2 t)/cos^2 t = cos^2 t/(cos^2 t) = 1`