Given that angle is in standard position and its terminal side passes through the point , which of the following is the approximate measure of angle 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 angle is in standard position and its terminal side passes through the point , what is the measure of angle in degrees?
A
B
C
D
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Verified step by step guidance1
Identify that the angle \( \angle pnl \) is in standard position, meaning its vertex is at the origin and its initial side lies along the positive x-axis.
Note that the terminal side of the angle passes through the point \( (0, 1) \). This point lies on the y-axis above the origin.
Recall that the angle in standard position whose terminal side lies on the positive y-axis corresponds to an angle of \( 90^\circ \).
Understand that since the point \( (0, 1) \) is directly above the origin on the y-axis, the terminal side forms a right angle with the positive x-axis.
Conclude that the measure of \( \angle pnl \) is \( 90^\circ \) without needing to calculate any trigonometric ratios.
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