If an angle in standard position has its terminal side passing through the point on the unit circle, what is its measure in degrees?
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
1. Measuring Angles
Angles in Standard Position
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
If an angle in standard position intercepts an arc on a circle such that the arc measures , what is the measure of the arc QR?
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Verified step by step guidance1
Understand that the measure of an arc intercepted by an angle in standard position on a circle is equal to the measure of that angle in degrees.
Identify the given arc measure, which is 104° in this problem.
Recall that the arc QR intercepted by the angle will have the same measure as the angle itself, since the angle is in standard position and intercepts that arc.
Therefore, the measure of arc QR is equal to the given arc measure, which is 104°.
No additional calculations are needed because the intercepted arc measure directly corresponds to the angle's measure in degrees.
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