Question

How do you identify `tan^2thetacsc^2theta-tan^2theta`?

Answer 1

= 1

Explanation:

`f(t) = tan^2 t.csc^2 x - tan^2 t`
`f(t) = tan^2 t (csc^2 t - 1)`
Substitute `csc^2 t` by `(1 + cot^2 t)`(trig identity)
`f(t) = tan^2 t(1 + cot^2 t - 1) = tan^2 t.cot^2 t = 1`