Verify the identity. $$ \sin ^{2} \frac{ heta}{2}=\frac{\sec heta-1}{2 \sec heta} $$ Use the appropriate power-reducing formula and rewrite the left side of the identity. $$ \frac{1-\cos heta}{2} $$ (Simplify your answer.) Rewrite the expression from the previous step by multiplying the numerator and denominator by sec $$ heta $$. Multiply and distribute in the numerator. $$ \square $$ (Do not simplify.)

Question

Verify the identity. $$ \sin ^{2} \frac{	heta}{2}=\frac{\sec 	heta-1}{2 \sec 	heta} $$ Use the appropriate power-reducing formula and rewrite the left side of the identity. $$ \frac{1-\cos 	heta}{2} $$ (Simplify your answer.) Rewrite the expression from the previous step by multiplying the numerator and denominator by sec $$ 	heta $$. Multiply and distribute in the numerator. $$ \square $$ (Do not simplify.)

Pearson Clark · Accepted Answer

$$\frac{\sec 	heta - \cos 	heta \sec 	heta}{2}$$

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