If , find the values of the five other trigonometric functions. Rationalize the denominators if necessary.
Table of contents
- 0. Fundamental Concepts of Algebra3h 32m
- 1. Equations and Inequalities3h 27m
- 2. Graphs1h 43m
- 3. Functions & Graphs2h 17m
- 4. Polynomial Functions1h 54m
- 5. Rational Functions1h 23m
- 6. Exponential and Logarithmic Functions2h 28m
- 7. Measuring Angles40m
- 8. Trigonometric Functions on Right Triangles2h 5m
- 9. Unit Circle1h 19m
- 10. Graphing Trigonometric Functions1h 19m
- 11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
- 12. Trigonometric Identities 2h 34m
- 13. Non-Right Triangles1h 38m
- 14. Vectors2h 25m
- 15. Polar Equations2h 5m
- 16. Parametric Equations1h 6m
- 17. Graphing Complex Numbers1h 7m
- 18. Systems of Equations and Matrices3h 6m
- 19. Conic Sections2h 36m
- 20. Sequences, Series & Induction1h 15m
- 21. Combinatorics and Probability1h 45m
- 22. Limits & Continuity1h 49m
- 23. Intro to Derivatives & Area Under the Curve2h 9m
8. 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, also known as arcsin, to find the angle A. This is done by calculating A = arcsin(0.9235).
Ensure that the calculator is set to degree mode since the problem specifies the angle in degrees.
After calculating, verify that the resulting angle is within the specified interval [0°, 90°) and round the answer to four decimal places.
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