Question

Prove cscx-sinx=cotxcosx

Answer 1

\( \csc x- \sin x= \cot x \cos x\)
\( \equiv \dfrac{1}{\sin x} - \sin x= \dfrac{\cos x}{\sin x} \cos x\)

So, time by \(\sin x\)
\( 1- \sin^2 x= \cos^2 x\)

\( 1= \sin^2 x + \cos^2 x\)

And that's Pyhtagoreas' Theorem :-))

Answer 2

@IrishBoy123 Thanks!