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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 8: Q. 2 (page 527)

If $胃$ is an acute angle, solve thee equation $\cos 胃 = \frac{\sqrt{3}}{2}$ .

Short Answer

Expert verified

The solution is $胃 = \frac{蟺}{6}$ .

Step by step solution

01

Step 1. Given information

$胃$ is an acute angle.

02

Step 2. Calculation

Here $胃$ is an acute angle that is less than $90 掳$ , so the angle is in the first quadrant. Now the equation -

$\cos 胃 = \frac{\sqrt{3}}{2}$

$胃 = \cos^{- 1} \frac{\sqrt{3}}{2}$

$胃 = \frac{蟺}{6} o r 30 掳$

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