Given the points , , , and on a circle, what is the measure in degrees of the minor arc from to ?
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 statements is true about angles in standard position?
A
The terminal side of an angle in standard position always lies along the positive -axis.
B
Angles in standard position are always acute angles.
C
The initial side of an angle in standard position always lies along the positive -axis.
D
The vertex of an angle in standard position is always at the origin.
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Verified step by step guidance1
Recall the definition of an angle in standard position: it has its vertex at the origin of the coordinate plane.
Understand that the initial side of the angle in standard position always lies along the positive x-axis.
Recognize that the terminal side of the angle can lie anywhere in the coordinate plane, not necessarily along the positive y-axis.
Note that angles in standard position can be acute, right, obtuse, or even reflex; they are not restricted to being acute.
Conclude that the true statements are: the vertex is at the origin, and the initial side lies along the positive x-axis.
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