Question

Verify the identity. Cot[theta - pi/2] = -tan theta

Answer 1

\[Cot \left( \theta - \frac{ \pi }{ 2 } \right) = -\tan \theta\]

Answer 2

@oleg3321

Answer 3

I have to verify the identity and show my work

Answer 4

we know that
cot(-theta) = -cot(theta)

we also know that cot(pi/2-theta) = tan(theta)
multiply both sides by -1 we get --
-cot(pi/2-theta)=-tan(theta)
we can write -cot(pi/2-theta) as cot(theta-pi/2) so nw we hav
cot(theta-pi/2)= -tan(theta)

Answer 5

ok so where do i go from there? Im literally lost and I need to show my work

Answer 6

Or is that the answer? @imqwerty

Answer 7

Anyone?

Answer 8

wait :)

Answer 9

ok lol sorry

Answer 10

don't get lost :) that is the answer @EllenJaz17

Answer 11

oh ok, lol thank you!

Answer 12

ur welcome :) @EllenJaz17