Question

Please :).
Verify the identity.

cot (x-pi/two)= -tan x

Answer 1

I know that \(\Large cot (\frac{\pi}{2}-x ) = tan x \) is an identity.


So with \(\Large cot(x-\frac{\pi}{2} ) \) I would assume they want you to pull out the negative like so:


\(\Large \cot(-(\frac{\pi}{2} -x)) \) and using the Even-Odd identities: \(\Large \cot(-\theta) =-\cot \theta \)

So \(\Large \cot(-(\frac{\pi}{2}-x)) = -cot(\frac{\pi}{2}-x) =-tan x\)

Answer 2

Thanks!