Question

Prove it :-

$tanx+cotx=secxcosecx$

Answer 1

$\tan x+\cot x=\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}$

$=\frac{{\sin }^{2}x+{\cos }^{2}x}{\cos x\sin x}$

$=\frac{1}{\cos x\sin x}$

$=\sec x\cos ecx$

=R.H.S