Question

How do you prove `csctheta/sintheta=csc^2theta`?

Answer 1

Easy! Just remember that `1/ sin theta = csc theta` and you will find that `csc theta / sin theta = csc^2 theta`

Explanation:

To prove that `csc theta / sin theta = csc^2 theta`, we have to remember that `csc theta = 1/ sin theta`

Proof: `csc theta / sin theta = csc^2 theta`

`(1/ sin theta) / sin theta = csc^2 theta`

`1/ sin theta * 1/ sin theta = csc^2 theta`

`1/ sin^2 theta = csc^2 theta`
So, `csc^2 theta = csc^2`

There you go :)