Consider the equation . If is an angle in Quadrant IV, what is the value of ?
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
In standard position, which ray is the terminal side of a angle?
A
The negative -axis
B
The negative -axis
C
The positive -axis
D
The positive -axis
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Verified step by step guidance1
Recall that an angle in standard position is drawn with its vertex at the origin and its initial side along the positive x-axis.
Understand that the measure of the angle is the amount of rotation from the initial side to the terminal side, measured counterclockwise for positive angles.
For a 0° angle, there is no rotation from the initial side, so the terminal side coincides with the initial side.
Since the initial side is along the positive x-axis, the terminal side of a 0° angle is also along the positive x-axis.
Therefore, the ray representing the terminal side of a 0° angle lies on the positive x-axis.
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