In the context of angles in standard position, which of the following pairs of angles are adjacent to each other?
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 angle is in standard position and its terminal side passes through the point (0, 1), what is the measure of angle in degrees?
A
B
C
D
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Verified step by step guidance1
Understand that an angle in standard position has its vertex at the origin (0,0), its initial side along the positive x-axis, and its terminal side passing through a given point.
Identify the coordinates of the point through which the terminal side passes, which is (0, 1) in this problem.
Recall that the angle's measure can be found by calculating the angle between the positive x-axis and the line connecting the origin to the point (0, 1).
Since the point lies on the y-axis above the origin, recognize that this corresponds to a vertical line, which forms a 90-degree angle with the positive x-axis.
Conclude that the measure of angle \( \angle BDC \) is 90 degrees because the terminal side is perpendicular to the initial side.
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