SOLUTION: If we establish an identity: (tan A - cot A/tan A + cot A) would equal what?

Algebra ->  Trigonometry-basics -> SOLUTION: If we establish an identity: (tan A - cot A/tan A + cot A) would equal what?      Log On


   

Question 149422: If we establish an identity:
(tan A - cot A/tan A + cot A) would equal what?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Re-writing,
%28tanA-cotA%29%2F%28tanA%2BcotA%29
By quotient identities:
=%28%28sinA%2FcosA%29-%28cosA%2FsinA%29%29%2F%28%28sinA%2FcosA%29%2B%28cosA%2FsinA%29%29
=
=%28sin%5E2%28A%29-cos%5E2%28A%29%29%2F%28sin%5E2%28A%29%2Bcos%5E2%28A%29%29 = %28sin%5E2%28A%29-cos%5E2%28A%29%29%2F1-->A
We have to remember the identity for "double angle formulas":
cos2%28mu%29=cos%5E2%28mu%29-sin%5E2%28mu%29 --------------> B
*note" %28mu%29=A
So,
= -cos2A, FINAL ANSWER ----> see the negative (-) sign, bec. the final answer A is opposite the identity B.
Thank you,
Jojo