Question

Find all the values of x such that sin^2x+cos^2x=1/2-sin x and -2pi is less than or equal to x is less than or equal to 2pi

Please explain. I don't just want the answer. I want to understand the problem.

Answer 1

sin^2(x)+cos^2(x) only equals 1

Answer 2

WHat's the next step?

Answer 3

sin^2(x)+cos^2(x) cannot equal (1/2-sinx) unless 2-sinx=1