Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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![**Trigonometric Equation Solving Exercise**
1. **Problem 4: Use a calculator to solve the equation on the interval \([0, 2\pi)\).**
\[
\sin x = -0.0567
\]
- Find \(x = \boxed{\phantom{xxxxxx}}\) (Type answer in Radians. Round to 4 decimal places if needed.)
2. **Problem 5: Solve the equation on the interval \([0, 2\pi)\).**
\[
2 \sin 2x - 1 = 0
\]
- Select the correct answer choice below.
- \(A. \, x = \boxed{\phantom{xxxxxx}}\) (Type in radians)
3. **Problem 6: Use an identity to solve the following equation on the interval \([0, 2\pi)\).**
\[
2 \sin^2 x + \cos x - 1 = 0
\]
- Find \(x = \boxed{\phantom{xxxxxx}}\)
4. **Problem 7: Solve the equation on the interval \([0, 2\pi)\).**
\[
2 \sin^2 \Theta - 3 \sin \Theta + 1 = 0
\]
- Find \(\Theta = \boxed{\phantom{xxxxxx}}\)](https://content.bartleby.com/qna-images/question/e51f510a-4219-4d1e-bafc-2c14b93b926c/cc59ccda-07c9-48d3-a9b0-c8e620beca07/zybt662_processed.jpeg)
Transcribed Image Text:**Trigonometric Equation Solving Exercise**
1. **Problem 4: Use a calculator to solve the equation on the interval \([0, 2\pi)\).**
\[
\sin x = -0.0567
\]
- Find \(x = \boxed{\phantom{xxxxxx}}\) (Type answer in Radians. Round to 4 decimal places if needed.)
2. **Problem 5: Solve the equation on the interval \([0, 2\pi)\).**
\[
2 \sin 2x - 1 = 0
\]
- Select the correct answer choice below.
- \(A. \, x = \boxed{\phantom{xxxxxx}}\) (Type in radians)
3. **Problem 6: Use an identity to solve the following equation on the interval \([0, 2\pi)\).**
\[
2 \sin^2 x + \cos x - 1 = 0
\]
- Find \(x = \boxed{\phantom{xxxxxx}}\)
4. **Problem 7: Solve the equation on the interval \([0, 2\pi)\).**
\[
2 \sin^2 \Theta - 3 \sin \Theta + 1 = 0
\]
- Find \(\Theta = \boxed{\phantom{xxxxxx}}\)
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