Question

Prove:

tan y/(tan^2 y - 1) = 1/ (tan y - cot y)

Answer 1

write the tan y of numerator as 1/ cot y

Answer 2

So you mean I should get (1/cot y)/(tan^2y - 1)?

Answer 3

yes, so its
1/(cot y (tan^2 y -1) )
you know what cot y * tan y is, right ?

Answer 4

I got it now!
cot y * tan y = 1, so when I distribute cot y...

1/cot y(tan^2y -1)
1/ tan y(1) - cot y

I can't believe I didn't catch it now that I look back. Thanks!

Answer 5

good work!
welcome ^_^