Thread: Trig Identities.

Here is a trig question I need help solving (step by step walk-through would be the most beneficial)
Our teacher prefers that we only work on one side.



1 - csc^2 x / 1 + csc x = sin x - 1 / sin x

You have not shown the brackets.

(1 - csc^2 x) / (1 + csc x) = (sin x - 1) / sin x

Is it correct?

Yes that is correct, my apologies

Start by writing everything in terms of sines and cosines, then get common denominators and apply the Pythagorean Theorem.

Factorize (1 - csc^2 x) just like (a^2 - b^2), then simplify.