Question

Simplify:
2-2 tan (theta) cot(theta)/ (1-tan(theta)) (1-cot(theta))

Answer 1

Is the equation \[{2-2tan(\theta)cot(\theta)\over (1-tan(\theta)(1-cot(\theta)}\]?

Answer 2

Yes, that is correct

Answer 3

If that is the case, then it simplifies to zero because \[cot(\theta) = {1\over tan(\theta)}\]so the numerator becomes\[2-2{tan(\theta)\over tan(\theta)}\]which is zero

Answer 4

Ok, that was the answer I came up with but I just wanted to make sure i did it right.

Answer 5

Yep, you sure did

Answer 6

Thanks so much!