There's no answer for this in the back of the book and I just want to make sure I did it correctly. If anyone could post their answer, I would appreciate it! Thanks. Cos^2(x) + sin^2 (x) =1 for every real value of x.(Pythagorean theorem) What real values of x will be a solution to cos^n (x)- sin^n (x) =1, for a given positive integer n?