27 by using the reference angle. 3 Without using a calculator, compute the sine and cosine of What is the reference angle? radians. In what quadrant is this angle? (answer 1, 2, 3, or 4) sin 3 2т Cos %3D
27 by using the reference angle. 3 Without using a calculator, compute the sine and cosine of What is the reference angle? radians. In what quadrant is this angle? (answer 1, 2, 3, or 4) sin 3 2т Cos %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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![### Compute Sine and Cosine without a Calculator
#### Problem Statement
Without using a calculator, compute the sine and cosine of \(\frac{2\pi}{3}\) by using the reference angle.
1. **What is the reference angle?**
\[ \_\_\_\_ \text{ radians} \]
2. **In what quadrant is this angle?**
\[ \_\_\_ \text{ (answer 1, 2, 3, or 4)} \]
3. \[
\sin \left( \frac{2\pi}{3} \right) = \_\_\_\_
\]
4. \[
\cos \left( \frac{2\pi}{3} \right) = \_\_\_\_
\]
##### Explanation of Diagrams/Graphs:
There are no accompanying diagrams or graphs in this image; it contains text fields to be filled in with values after calculating the trigonometric functions and identifying reference angles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61582fe1-367e-4645-8839-10cdc051513a%2F9994015c-304d-43fc-b591-5c0ff8e84ca8%2Fqc7a735_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Compute Sine and Cosine without a Calculator
#### Problem Statement
Without using a calculator, compute the sine and cosine of \(\frac{2\pi}{3}\) by using the reference angle.
1. **What is the reference angle?**
\[ \_\_\_\_ \text{ radians} \]
2. **In what quadrant is this angle?**
\[ \_\_\_ \text{ (answer 1, 2, 3, or 4)} \]
3. \[
\sin \left( \frac{2\pi}{3} \right) = \_\_\_\_
\]
4. \[
\cos \left( \frac{2\pi}{3} \right) = \_\_\_\_
\]
##### Explanation of Diagrams/Graphs:
There are no accompanying diagrams or graphs in this image; it contains text fields to be filled in with values after calculating the trigonometric functions and identifying reference angles.
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