Question

How do I solve this?

Answer 1

All Real Numbers

Explanation:

I will be using x instead of θ as a variable:

1.)
`1+tan^2`x is equal to
`sec^2`x, so we can substitute
`sec^2`x for
`1+ tan^2`x.

2.) Now, since
`csc^2`x is equal to
`(1)/(sin^2x)`, and
`sec^2`x is equal to
`(1)/(cos^2x)`, we can just move
`cos^2x` to the numerator and
`sin^2x` to the denominator.
`(cos^2x)/(sin^2x)` is equal to
`cot^2x`

3.) Since we have
`cot^2x` =
`cot^2x` , the answer is All Real Numbers.