Given two intersecting lines in the coordinate plane, which diagram shows angles and as vertical angles in standard position?
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 in standard position has its terminal side passing through the point with coordinates . Which of the following is the measure of the angle 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 the angle 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.
Determine the quadrant or axis where the point lies. Since the point is (0, -1), it lies on the negative y-axis.
Recall the angles corresponding to points on the axes: the positive y-axis corresponds to 90°, the negative x-axis to 180°, the negative y-axis to 270°, and the positive x-axis to 0° or 360°.
Conclude that the angle whose terminal side passes through (0, -1) is 270°.
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