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