An angle in standard position has its initial side along the positive -axis. If its terminal side passes through the point , what is the measure of the angle in degrees, rounded to the nearest whole number?
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
An angle is in standard position and its terminal side lies on the negative -axis. What is the measure of this angle in degrees?
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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.
Identify the position of the terminal side: since it lies on the negative y-axis, it points straight down from the origin.
Understand that the positive x-axis corresponds to 0° (or 360°), and moving counterclockwise, the positive y-axis is at 90°, the negative x-axis at 180°, and the negative y-axis at 270°.
Therefore, the angle whose terminal side lies on the negative y-axis is measured as 270° in standard position.
Conclude that among the given options, the angle measure that corresponds to the terminal side on the negative y-axis is 270°.
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