If angle is in standard position and its terminal side passes through the point on the unit circle, what is the measure of 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
1. Measuring Angles
Angles in Standard Position
Multiple Choice
If an angle is in standard position and its terminal side passes through the point on the unit circle, what is the measure of angle in degrees?
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Verified step by step guidance1
Understand that the angle \( tsu \) is in standard position, meaning its vertex is at the origin and its initial side lies along the positive x-axis.
Recognize that the terminal side of the angle passes through the point \( (0, 1) \) on the unit circle, which means the radius vector from the origin to this point has length 1.
Recall that points on the unit circle correspond to angles where the coordinates are \( (\cos \theta, \sin \theta) \). Here, \( \cos tsu = 0 \) and \( \sin tsu = 1 \).
Identify the angle \( tsu \) whose cosine is 0 and sine is 1. This corresponds to the angle where the terminal side points straight up along the positive y-axis.
Conclude that the measure of angle \( tsu \) in degrees is \( 90^\circ \), since this is the angle where the terminal side passes through \( (0, 1) \) on the unit circle.
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