Given an angle in standard position, which of the following is the closest approximation to 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
- 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
If an angle in standard position has its terminal side passing through the point , what is the measure of in degrees?
A
B
C
D
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Verified step by step guidance1
Identify the coordinates of the point through which the terminal side of angle \( c \) passes. Here, the point is \( (0, 1) \).
Recall that an angle in standard position has its vertex at the origin \( (0,0) \) and its initial side along the positive x-axis. The terminal side passes through the given point.
Since the point is \( (0, 1) \), it lies on the positive y-axis. This means the terminal side is vertical and points straight up.
The angle whose terminal side lies on the positive y-axis is \( 90^\circ \) because it is a quarter turn counterclockwise from the positive x-axis.
Therefore, the measure of angle \( c \) in degrees is \( 90^\circ \).
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