Rewrite the expression in terms of the first power of the cosine. Use a graphing utility to graph both expressions to verify that both forms are the same.

Question

4 sin²(x/2)

= ___________

Answer 1

sin (x / 2) = ±[√(1 - cos x) / 2]

sin² (x / 2) = (1 - cos x) / 4

4 sin² (x - 2) = 1 - cos u