Chapter 6: Q. 20 (page 395)

In problems 11-26,use the fact that the trigonometric function are periodic to find the exact value of each expression. Do not use a calculator.
$\sin (\frac{9 π}{4})$

Short Answer

Expert verified

The exact value is $\frac{\sqrt{2}}{2}$ .

Step by step solution

Step 1. Given information.

We have:

$\sin (\frac{9 π}{4})$

Step 2. Find the exact value of trigonometric function.

The function is $\sin (\frac{9 π}{4})$ .

Formula used:

$\sin (θ + 2 π) = \sin θ$

Remove full rotations of $2 π$ until the angle is between $0$ and $2 π$ .

We get:

$\sin (\frac{9 π}{4}) = \sin (\frac{π}{4}) = \frac{\sqrt{2}}{2}$

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In problems 11-26,use the fact that the trigonometric function are periodic to find the exact value of each expression. Do not use a calculator.
$\sin (\frac{9 π}{4})$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the exact value of trigonometric function.

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In problems 11-26,use the fact that the trigonometric function are periodic to find the exact value of each expression. Do not use a calculator.sin9π4

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the exact value of trigonometric function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Logic and Functions

Geometry

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

In problems 11-26,use the fact that the trigonometric function are periodic to find the exact value of each expression. Do not use a calculator.
$\sin (\frac{9 π}{4})$