If an angle in standard position has its terminal side passing through the point on the unit circle, what is the measure of the 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
Which of the following angles in standard position corresponds to a point on the negative -axis?
A
B
C
D
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Verified step by step guidance1
Recall that an angle in standard position is measured from the positive x-axis, rotating counterclockwise around the origin.
Identify the key angles that lie on the coordinate axes: 0° (positive x-axis), 90° (positive y-axis), 180° (negative x-axis), 270° (negative y-axis), and 360° (back to positive x-axis).
Understand that the negative y-axis corresponds to the point where the angle measures 270°, because it is three-quarters of a full 360° rotation from the positive x-axis.
Check the given options (360°, 300°, 180°) and see which one matches the negative y-axis position; none of these correspond to 270°, which is the angle for the negative y-axis.
Conclude that the angle corresponding to a point on the negative y-axis is 270°, as it is the standard angle that points directly downward along the y-axis.
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