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
1. Measuring Angles
Angles in Standard Position
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple 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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