Given a point on the terminal side of an angle in standard position, what is the measure of angle 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
Given that 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?
A
degrees
B
degrees
C
degrees
D
degrees
Verified step by step guidance1
Recall that an angle in standard position has its vertex at the origin and its initial side along the positive x-axis.
Since the terminal side of the angle passes through the point (0, 1) on the unit circle, identify the coordinates of this point as (x, y) = (0, 1).
On the unit circle, the coordinates (x, y) correspond to (cos \theta, sin \theta), where \theta is the angle measure in radians or degrees.
Set up the equations: \cos \theta = 0 and \sin \theta = 1, and determine which angle \theta satisfies these conditions.
Convert the angle \theta from radians to degrees if necessary, and identify the angle measure from the given options.
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