Question

Verify the identity.
\[\cot \left( x-\frac{ \pi }{ 2 } \right)=-tanx\]

Answer 1

I don't know if I should use cofunction identites because cot (pi/2-x) = tan x, but there's a negative sign.

Answer 2

\[\cot \left( x-\frac{ \pi }{ 2 } \right)=-tanx\]

Answer 3

use compound identity

Answer 4

What is that?

Answer 5

\[\frac{ \cos(x-\frac{ \pi }{ 2 }) }{ \sin(x-\frac{ \pi }{ 2 }) }\]

Answer 6

Oh okay I get it now. Thank you!

Answer 7

\[\frac{ cosxcos \frac{ \pi }{ 2 }+sinxsin \frac{ \pi }{ 2 } }{ sinxcos \frac{ \pi }{ 2 }-cosxsin \frac{ \pi }{ 2 } }\]

Answer 8

\[\frac{ cosx(0)+sinx(1) }{sinx(0)-cosx(1) }\]

Answer 9

= - tan x
yes good work LynFran