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?
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- 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
If angle is in standard position and its terminal side passes through the point , what is the measure of angle in degrees?
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검증된 단계별 안내1
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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