Unit 6, Lesson 10
Beyond $2\pi$
Integrated Math 3
Practice
Problem 1
A rotation takes \(P\) to \(Q\). What could be the measure of the angle of rotation in radians? Select all that apply.
\(\frac{3\pi}{2}\)
Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
A rotation takes \(P\) to \(Q\). What could be the measure of the angle of rotation in radians? Select all that apply.
\(\frac{3\pi}{2}\)
\(\frac{\pi}{2}\)
\(\frac{\pi}{4}\)
\(\frac{5\pi}{2}\)
\(\frac{5\pi}{4}\)
Here is a wheel with a radius of 1 foot.
A circle with center at the origin of an x y plane. The circle is divided into 12 equal pie shaped pieces. 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 y axis, below the origin.
Here is the unit circle with a point \(P\) at \((1,0)\). Find the coordinates of \(P\) after the circle rotates the given amount counterclockwise around its center.
Here is a graph of \(y = \sin(\theta)\).
A graph. Horizontal axis, theta, scale 0 to 2 pi by pi over 8. Vertical axis, y, negative 1 to 1. There are 3 tick marks between negative 1 and 0 on the vertical axis. There are 3 tick marks between 0 and 1 on the vertical axis. A curve is labeled y equals sine theta.