Question

Simplify the trigonometric expression (sin^2(x/2)) (1 + cos(x)) using Half-Angle Identities.

Answer 1

Answer:

B

Step-by-step explanation:

1-cos2x=2sin²(x/2)

$sin^2(\frac{x}{2} )=\frac{(1-cos(2x))}{2}\\(sin^2(\frac{x}{2} ))(1+cos(x))= \frac{(1-cos(2x))(1+cos(x))}{2}$