Question

If sec(t) = 3, how do you find the exact value of `tan^2 (t)`?

Answer 1

8

Explanation:

`sin^2t+cos^2t=1`

If we divide this identity by `cos^2t` we get:

`tan^2t+1=sec^2t`

If `sect=3` then:

`tan^2t+1=9`

`tan^2t=8`