Question

In this equation they solved, i was wondering why they were able to take away sin x from the numerator (1st and 2nd step)

Answer 1

by doing so, the denominator is now sin^2 x, why is that?

Answer 2

First, the numerator was factored. sin x was a factor of each of the two terms there, and was factored out.

Second, since \[\sin^2x+\cos^2x=1, \]

Answer 3

\[1-\cos^2x =\sin^2x. \]

Answer 4

Trig identity.

If this problem is still not clear to you, please ask further questions.

Answer 5

Ohhh, okay I understand now. Took me a while to fully understand what you meant, hence the long time to respond. Thank you!