cot(x-pi/2) -tanx is undercofunction identities, but it's positive how do i turn it negative

Question

anonymous · Answer

@precal

precal · Answer

no clue, don't know anything about cofunction off the top of my head.....

precal · Answer

would have to go look it up and I misplaced my precal book, trying to clean my room

anonymous · Answer

aww okay thanks though

anonymous · Answer

that is what a cofunction identity is

precal · Answer

precal · Answer

listen to satellite73

anonymous · Answer

oh i see the confusion

anonymous · Answer

but my question is to verify cot(x-pi/2)=-tanx

anonymous · Answer

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

anonymous · Answer

that is a cofunction identity

anonymous · Answer

the identity only has cot(pi/2-x)=tanx

anonymous · Answer

right

anonymous · Answer

hint: cotangent is odd

anonymous · Answer

okay ill try it

anonymous · Answer

ok but there is nothing much to try
it comes from the fact that cotangent is an odd function and $x-\frac{\pi}{2}=-(\frac{\pi}{2}-x)$

anonymous · Answer

so i just make it negative? @satellite73

anonymous · Answer

yes

anonymous · Answer

$$\cot(-\theta)=-\cot(\theta)$$

anonymous · Answer

@satellite73 it doesn't make sense to me

precal · Answer

those are called even and odd identities

precal · Answer