Given that angle is in standard position and its terminal side passes through the point , which is the best approximation for the 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
Given an angle in standard position, which of the following is the closest approximation to its measure in degrees?
A
B
C
D
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Verified step by step guidance1
Identify the given angle in standard position and understand that the goal is to find its measure in degrees.
Recall that angles in standard position are measured from the positive x-axis, moving counterclockwise for positive angles.
If the angle is given in radians or another unit, use the conversion formula to convert it to degrees: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).
Compare the calculated degree measure to the provided options: 50.6°, 34.8°, 39.4°, and 55.2°.
Select the option that is closest to your calculated degree measure, which in this case is 39.4°.
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