If angle is in standard position and its terminal side passes through the point (0, 1), what is the measure of angle in degrees?
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
Which of the following angles is in standard position and has its terminal side in Quadrant ?
A
B
C
D
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Verified step by step guidance1
Recall that an angle in standard position has its vertex at the origin and its initial side along the positive x-axis.
Identify the range of angles whose terminal side lies in Quadrant II. Quadrant II corresponds to angles between 90\(\degree\) and 180\(\degree\).
Examine each given angle to see if it falls within the range 90\(\degree\) < angle < 180\(\degree\).
Check 35\(\degree\) and 50\(\degree\): both are less than 90\(\degree\), so their terminal sides lie in Quadrant I.
Check 72.5\(\degree\) and 92.5\(\degree\): 72.5\(\degree\) is less than 90\(\degree\) (Quadrant I), but 92.5\(\degree\) is between 90\(\degree\) and 180\(\degree\), so its terminal side lies in Quadrant II.
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