Chapter 10: Q 3. (page 676)

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

Short Answer

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

Step by step solution

Step 1. Given information

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

Step 2. Fill in the blank.

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

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

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Fill in the blank.

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If θis acute, the Half-angle Formula for the sine function isrole="math" localid="1646654694239" sinθ2=______.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Fill in the blank.

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Logic and Functions

Calculus

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

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