Triangle QRS is a right triangle with one angle measuring and another angle measuring . What is the measure of the third angle in degrees?
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
If = in a right triangle, what is the value of rounded to two decimal places?
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Verified step by step guidance1
Identify the given angle in the right triangle, which is \(m\angle ABC = 20^\circ\).
Recall the definition of sine in a right triangle: \(\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}\).
Since the problem asks for \(\sin(20^\circ)\), understand that this is a trigonometric ratio value for the angle \(20^\circ\).
Use a scientific calculator or trigonometric tables to find the value of \(\sin(20^\circ)\) without rounding yet.
Finally, round the obtained value of \(\sin(20^\circ)\) to two decimal places to match one of the provided answer choices.
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