I know the trig identities and I went about trying to apply some but I have trouble knowing which to use and how to continue, I will write down what I have in my book that I stopped at:
(sin x/cos^2x) - cos x (1/tanx) = sin x
from there I tried to apply pythagorean theorem for cos^2x but I just dont have enough experience to work it out further, I did keep trying and I will keep trying but for now I am reviewing my whole term in preparation for final. I really don't mean to ask for answers, I DO want to understand these things and I've done 50 exercises just today on it.
I seem to have gotten as far as:
(sin^2 x - (1-sin^2 x)^2)/((1-sin^2 x)(sin x)) = sin x
I got that from using the cos^2 x pythagorean identity and then trying to treat them like regular subtraction for fractions (use common denominator).
This is the last section of the precal course and I will admit I have trouble with trig identities