In standard position, which axis does the terminal side of a angle lie on?
Table of contents
- 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 measures , in which quadrant does its terminal side lie?
A
B
C
D
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Verified step by step guidance1
Recall that an angle in standard position is measured starting from the positive x-axis and rotating counterclockwise.
Identify the measure of the given angle, which is \(75^\circ\).
Understand the quadrant boundaries: Quadrant I is from \(0^\circ\) to \(90^\circ\), Quadrant II is from \(90^\circ\) to \(180^\circ\), Quadrant III is from \(180^\circ\) to \(270^\circ\), and Quadrant IV is from \(270^\circ\) to \(360^\circ\).
Since \(75^\circ\) lies between \(0^\circ\) and \(90^\circ\), determine that the terminal side of the angle lies in Quadrant I.
Conclude that the angle \(\angle PQR\) in standard position with measure \(75^\circ\) is located in Quadrant I.
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