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Mathematics 80 Online
OpenStudy (anonymous):

Verify the identity. cot (x minus pi divided by two) = -tan x

OpenStudy (jango_in_dtown):

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

OpenStudy (jango_in_dtown):

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

OpenStudy (jango_in_dtown):

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

OpenStudy (anonymous):

Thanks a million. @jango_IN_DTOWN

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