## anonymous one year ago Verify the identity. Cot[theta - pi/2] = -tan theta

1. anonymous

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

2. anonymous

@oleg3321

3. anonymous

I have to verify the identity and show my work

4. imqwerty

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)

5. anonymous

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

6. anonymous

Or is that the answer? @imqwerty

7. anonymous

Anyone?

8. imqwerty

wait :)

9. anonymous

ok lol sorry

10. imqwerty

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

11. anonymous

oh ok, lol thank you!

12. imqwerty

ur welcome :) @EllenJaz17