Which trigonometric functions have a domain of ?
Table of contents
- 0. Review of College Algebra4h 43m
- 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
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
Given a right triangle where the length of the side opposite angle is inches and the hypotenuse is inches, what is ?
A
B
C
D
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Verified step by step guidance1
Recall the definition of sine in a right triangle: \(\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}\).
Identify the given values: the side opposite angle \(\theta\) is \(h = 8.1\) inches, and the hypotenuse is \(k = 9\) inches.
Substitute the known values into the sine formula: \(\sin(\theta) = \frac{8.1}{9}\).
Simplify the fraction if possible to express \(\sin(\theta)\) in simplest form.
Interpret the result as the ratio of the opposite side to the hypotenuse, which directly gives the sine of angle \(\theta\).
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