Chapter 10: Q 4. (page 676)

If $θ$ is acute, the Half-angle Formula for the cosine function is $\cos \frac{θ}{2} =_______$ .

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information

The incomplete statement is " If $θ$ is acute, the Half-angle Formula for the cosine function is $\cos \frac{θ}{2} =________$ ."

Step 2. Fill in the blank.

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

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

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If $θ$ is acute, the Half-angle Formula for the cosine function is $\cos \frac{θ}{2} =_______$ .

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 cosine function iscosθ2=_______.

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Step 1. Given information

Step 2. Fill in the blank.

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If $θ$ is acute, the Half-angle Formula for the cosine function is $\cos \frac{θ}{2} =_______$ .