Unit 6, Lesson 11
Extending the Domain of Trigonometric Functions
Integrated Math 3
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The clock reads 3:00 p.m.
Which of the following are true? Select all that apply.
In the next hour, the minute hand moves through an angle of \(2\pi\) radians.
In the next 5 minutes, the minute hand will move through an angle of \(\text-\frac{\pi}{6}\) radian.
After the minute hand moves through an angle of \(\text-\pi\) radians, it is 3:30 p.m.
When the hour hand moves through an angle of \(\text-\frac{\pi}{6}\) radian, it is 4:00 p.m.
The angle the minute hand moves through is 12 times the angle the hour hand moves through.
Plot each point on the unit circle.
Here is a unit circle with a point, \(P\), at \((1,0)\).
For each listed positive angle of rotation of the unit circle around its center, indicate on the unit circle where \(P\) is taken, and give a negative angle of rotation that takes \(P\) to the same location.
A circle with center at the origin of an x y plane. Point P lies on the outside of the circle, on the x axis, to the right of the origin. Point Q lies on the outside of the circle, on the x axis, to the right of the origin.