Hello

The question is to solve

$\displaystyle \csc^2 2x - \cot 2x = 1$

I have tried writing $\displaystyle \csc^2 2x$ in terms of $\displaystyle \cot^2 2x$

and $\displaystyle \cot 2x$ in terms of $\displaystyle \csc 2x$

without success.

When I caved in and looked at the mark scheme it says to using $\displaystyle \csc^2 2x \equiv 1 + \cot^2 2x$, which I didn't get. Could someone please give me a clue and or suggest another way.

Thank you