I'm working on some practice questions using unit circles in advance of a chapter quiz tomorrow and am stuck on one question that I must have a mental block about. The question is as follows:
Solve the equation on the interval theta is greater than or equal to zero and less than pi:
sin^2 theta - cos^2 theta = 1 + cos theta
Any guidance that you can provide in the way of general rules of thumb that I would use to solve this type of problem would be very useful. Thanks!