If angle is in standard position and measures , in which quadrant does its terminal side lie?
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
1. Measuring Angles
Angles in Standard Position
Multiple Choice
Given a circle with center and an arc in standard position, what is the measure of arc if the central angle is ?
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B
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Verified step by step guidance1
Recall that the measure of an arc intercepted by a central angle in a circle is equal to the measure of that central angle.
Identify the given central angle measure, which is \(114^\circ\) in this problem.
Understand that the arc \(EF\) is the arc intercepted by the central angle at the center \(H\).
Apply the property that the measure of arc \(EF\) is equal to the measure of the central angle \(\angle EHF\).
Conclude that the measure of arc \(EF\) is \(114^\circ\) without needing further calculations.
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