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

Question

helpjebal · Answer

attachment

helpjebal · Answer

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

mathmale · Answer

First, the numerator was factored.  sin x was a factor of each of the two terms there, and was factored out.

Second, since $$\sin^2x+\cos^2x=1, $$

mathmale · Answer

$$1-\cos^2x =\sin^2x.  $$

mathmale · Answer

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

helpjebal · Answer

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