PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter 5.4, Problem 50E
Solution

To find: The value of sin22.5° .

The correct option is (E).

Given information:

The expression is sin22.5° .

Formula used:

Use the half-angle identity for sine in terms of cosine.

  sinu2=1cosu2

Calculation:

Let 22.5°=45°2

  sin22.5°=sin45°2

Here, u=45° .

Simplify the given expression by using half-angle identity for sine

  sin45°2=1cos45°2sin22.5°=1222=224=1222

Therefore, the correct option is (E).

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