Question

Verify the identity.
cot(x-pi/2)=-tan x

Answer 1

@darkknight

Answer 2

\[\cot(x-\frac{ \pi }{ 2 })=-\tan x\]

Answer 3

are we trying to verify if this is a trig identity or not?

Answer 4

yes

Answer 5

ok im assuming you are in at least precalc, so use this https://calcworkshop.com/pdf/trig-identities-cheatsheet.pdf to refer to all of the basic trig identities, we use these to see if your identity is correct

Answer 6

i have some of those but i just dont know where to start

Answer 7

im in class rn, can you wait like an hour or so?

Answer 8

sure, thank you

Answer 9

np

Answer 10

i think will help you use

\[\cot x = \frac{ \cos x }{ \sin x } and \tan x = \frac{ \sin x }{ \cos x }\]

Answer 11

or using this formula will help you

Cot(A-B) = (CotACotB+1)/(CotB-CotA)

Answer 12

remember that

Cotθ = 1/tanθ

Answer 13

and you need to know again that cot(pi/2) = 0