If , find the values of the five other trigonometric functions. Rationalize the denominators if necessary.
Table of contents
- 0. Review of College Algebra4h 45m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
What is a positive value of A in the interval [0°,90°) that will make the following statement true? Express the answer in four decimal places.
sinA=0.9235
A
22.5568°
B
67.4432°
C
22.4432°
D
33.5438°
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Verified step by step guidance1
Understand that the problem is asking for an angle A in the interval [0°, 90°) such that \( \sin A = 0.9235 \).
Recall that the sine function is positive in the first quadrant, which is the interval [0°, 90°).
Use the inverse sine function, \( \sin^{-1} \), to find the angle A: \( A = \sin^{-1}(0.9235) \).
Calculate \( \sin^{-1}(0.9235) \) using a calculator to find the angle A in degrees.
Ensure the angle A is expressed to four decimal places and verify it falls within the interval [0°, 90°).
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