Q. 46 Solve each equation on the inter... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 7: Q. 46 (page 501)

Solve each equation on the interval
$0 鈮� 胃鈮� 2 蟺$
$\sin 鈦� (4 胃) 鈭� \sin 鈦� (6 胃)$

Short Answer

Expert verified

$\{0, \frac{蟺}{10}, \frac{3 蟺}{10}, \frac{蟺}{2}, \frac{7 蟺}{10}, \frac{9 蟺}{10}, 蟺, \frac{11 蟺}{10}, \frac{13 蟺}{10}, \frac{3 蟺}{2}, \frac{17 蟺}{10}, \frac{19 蟺}{10}\}$

Step by step solution

Step 1. Given information

We have been given $\sin 鈦� (4 胃) 鈭� \sin 鈦� (6 胃)$ .

We have to solve for the expression.

Step 2. Simplify the expression

Given expression has the form

$\sin 伪 - \sin 尾$

Therefore,

role="math" localid="1646552909761" $\begin{aligned} \sin 鈦� (4 胃) 鈭� \sin 鈦� (6 胃) = 2 \sin 鈦� (\frac{4 胃鈭� 6 胃}{2}) \cos 鈦� (\frac{4 胃 + 6 胃}{2}) \\ = 2 \sin 鈦� (鈭� \frac{2 胃}{2}) \cos 鈦� (\frac{10 胃}{2}) \\ = 2 \sin 鈦� (鈭� 胃) \cos 鈦� (5 胃) \\ = - 2 \sin 鈦� (胃) \cos 鈦� (5 胃) \end{aligned}$

Step 3. Solve for each expression

Solve for $\sin 鈦� (胃)$

$\sin 胃 = 0$

For this,

we know that $\sin (0) = \sin (蟺) = 0$

Solve for $\cos (5 胃)$

Let $x = 5 胃$

Thus,

$\cos (x) = 0$

For this, $x$ must be equal to $\frac{蟺}{2} + k 蟺 or \frac{3 蟺}{2} + 办蟺$

Thus, $胃$ is equal to

$\{0, \frac{蟺}{10}, \frac{3 蟺}{10}, \frac{蟺}{2}, \frac{7 蟺}{10}, \frac{9 蟺}{10}, 蟺, \frac{11 蟺}{10}, \frac{13 蟺}{10}, \frac{3 蟺}{2}, \frac{17 蟺}{10}, \frac{19 蟺}{10}\}$

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91影视

Solve each equation on the interval
$0 鈮� 胃鈮� 2 蟺$
$\sin 鈦� (4 胃) 鈭� \sin 鈦� (6 胃)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the expression

Step 3. Solve for each expression

One App. One Place for Learning.

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91影视

Solve each equation on the interval0鈮�胃鈮�2蟺sin鈦�(4胃)鈭�sin鈦�(6胃)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the expression

Step 3. Solve for each expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Geometry

Decision Maths

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation on the interval
$0 鈮� 胃鈮� 2 蟺$
$\sin 鈦� (4 胃) 鈭� \sin 鈦� (6 胃)$