Given an angle in standard position whose terminal side passes through the point , what is the measure of angle ? Round your answer to the nearest whole degree.
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 an angle in standard position has its terminal side along the positive -axis, what is its measure in degrees?
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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 positive y-axis as the line where the terminal side of the angle lies.
Understand that the positive y-axis corresponds to a 90-degree rotation from the positive x-axis.
Therefore, the measure of the angle whose terminal side lies along the positive y-axis is 90 degrees.
Verify that this angle is one of the common reference angles on the coordinate plane: 0° on positive x-axis, 90° on positive y-axis, 180° on negative x-axis, and 270° on negative y-axis.
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