How do you simplify csc(x)sec(x)-tan(x)
\(\csc x\sec x-\tan x=\dfrac1{\sin x\cos x}-\dfrac{\sin x}{\cos x}=\dfrac1{\sin x\cos x}-\dfrac{\sin^2x}{\sin x\cos x}=\dfrac{1-\sin^2x}{\sin x\cos x}=\dfrac{\cos^2x}{\sin x\cos x}=\dfrac{\cos x}{\sin x}=\cot x\)
