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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 7: Q. 9 (page 485)

True or False $\cos (\frac{蟺}{2} - 胃) = \cos 胃$

Short Answer

Expert verified

$\cos (\frac{蟺}{2} - 胃) = \cos 胃$ is false.

Step by step solution

01

Step 1. Given information

Given that $\cos (\frac{蟺}{2} - 胃) = \cos 胃$ .

We have to tell whether this is true or false.

02

Step 2. Apply the difference of cosine function

We know $\cos (伪 - 尾) = \cos 伪 \cos 尾 + \sin 伪 \sin 尾$ .

$\cos (\frac{蟺}{2} - 胃) = \cos \frac{蟺}{2} \cos 胃 + \sin \frac{蟺}{2} \sin 胃 = 0 \cos 胃 + 1 \sin 胃 = \sin 胃$

Therefore, $\cos (\frac{蟺}{2} - 胃) = \cos 胃$ is false.

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