Solve each problem. See Example 6. Rotating Airplane Propeller An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 2 sec.
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
Which of the following is a property of an angle in standard position on the coordinate plane?
A
Its initial side lies along the positive -axis.
B
Its terminal side always lies in the first quadrant.
C
It must have a measure less than .
D
Its initial side lies along the negative -axis.
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Verified step by step guidance1
Understand what it means for an angle to be in standard position: its vertex is at the origin of the coordinate plane, and its initial side lies along the positive x-axis.
Recall that the initial side of an angle in standard position is fixed along the positive x-axis, while the terminal side can rotate to any position around the origin.
Recognize that the terminal side of the angle is not restricted to any specific quadrant; it can lie in the first, second, third, or fourth quadrant depending on the angle's measure.
Note that the angle measure in standard position can be any real number, positive or negative, and is not limited to being less than 90 degrees.
Conclude that the defining property of an angle in standard position is that its initial side lies along the positive x-axis.
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