1. The problem statement, all variables and given/known data I'm not sure if you can ask about two questions in one thread; they are very similar. If it's not allowed I can make a second thread and edit this one. Simplify the expressions: 1. sin^3 theta + cos^3 theta / sin theta + cos theta 2. 2-tan theta / 2 csc theta-sec theta 2. Relevant equations Pythagorean Identities 3. The attempt at a solution 1. if the either of these were squared, they could be equal to 1. I thought that I could get rid of th denominator and make sin^2 and cos^2 that way...and it would simplify to 1. The answer I am given is actually 1-sin theta cos theta. I think this has to factor somehow, but I'm not certain. I'm not used to dealing with problems that look like this yet. 2. I think this has to do with factoring something out as well, but I'm not sure what. I tried changing them all to variations of sin and cos, but nothing clicked for me.