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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 6: Q 35. (page 381)

Find the exact value of each expression. Do not use a calculator.
$\sin 45 掳 \cos 45 掳$

Short Answer

Expert verified

The exact value of $\sin 45 掳 \cos 45 掳 = \frac{1}{2}$

Step by step solution

Step 1. Given information

$\sin 45 掳 \cos 45 掳$

Step 2. Solution

$\sin 45 掳 = \frac{1}{\sqrt{2}} \cos 45 掳 = \frac{1}{\sqrt{2}} Putting the values in the given expression we get, \frac{1}{\sqrt{2}} 脳 \frac{1}{\sqrt{2}} = \frac{1}{2} So, \sin 45 掳 \cos 45 掳 = \frac{1}{2}$

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Find the exact value of each expression. Do not use a calculator.sin45掳cos45掳

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solution

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Find the exact value of each expression. Do not use a calculator.
$\sin 45 掳 \cos 45 掳$