Question

If $\theta$is acute, the Half-angle Formula for the sine function isrole="math" localid="1646654694239" $\sin \frac{\theta }{2}=\_\_\_\_\_\_$.

Short answer

If $\theta$is acute, the Half-angle Formula for the sine function is$\sin \frac{\theta }{2}=\underline{\pm \sqrt{\frac{1-\cos \theta }{2}}}$.

Step-by-step solution

Step 1. Given information

An incomplete statement is "If $\theta$is acute, the Half-angle Formula for the sine function is$\sin \frac{\theta }{2}=\_\_\_\_\_\_$"

Step 2. Fill in the blank.

The half-angle formula for the sine function is given with the following expression:

$\sin \frac{\theta }{2}=\underline{\pm \sqrt{\frac{1-\cos \theta }{2}}}$.