Question

Prove tan x plus pi divided by two = -cot x

Answer 1

\[\tan(x~+~\pi/2) = -\cot x\]

Answer 2

Use sum and difference?

Answer 3

\[\tan(x+\pi/2)=\frac{ \sin(x+\pi/2) }{ \cos(x+\pi/2) }=\frac{ \cos(x) }{ -\sin(x) }=-cotx\]

Answer 4

Oh that's easier

Answer 5

Yea just when see+ pi/2 use this trick