Question

How do you simplify csc(x)sec(x)-tan(x)

Answer 1

`\csc x\sec x-\tan x=\frac1{\sin x\cos x}-(\sin x)/(\cos x)=\frac1{\sin x\cos x}-(\sin^2x)/(\sin x\cos x)=(1-\sin^2x)/(\sin x\cos x)=(\cos^2x)/(\sin x\cos x)=(\cos x)/(\sin x)=\cot x`