Question

PLEASE HELP Verify the identity. tan x + pi/2 = -cot x

Answer 1

is it tan x + pi/2 = -c0tx or
tan(x+pi/2)=-cotx ?

Answer 2

tan(x+pi/2)=-cotx

Answer 3

\[\tan(x+\frac{\pi}{2})=\frac{\sin(x+\frac{\pi}{2})}{\cos(x+\frac{\pi}{2})}=\]
\[\frac{sinxcos\frac{\pi}{2}+cosxsin \pi\frac{\pi}{2}}{cosxcos\frac{\pi}{2}-sinxsin\frac{\pi}{2}}=\frac{sinx(0)+cosx(1)}{cosx(0)-sinx(1)}=\]
\[\frac{cosx}{-sinx}=-cotx\]

Answer 4

thank you so much!! :D

Answer 5

yw