Question

Verify the identity.

cot (x minus pi divided by two) = -tan x

Answer 1

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

Answer 2

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

Answer 3

\[=-\frac{ \sin x }{ \cos x }=-\tan x\]

Answer 4

Thanks a million. @jango_IN_DTOWN