Problem library
/
Math III
/
M3-033-A07-V04
◇ Problem preview
F-TF.1
Warmup
M3-033-A07-V04
Understand radian measure as arc length on the unit circle.
Interpret a directed radian rotation and its terminal point
Problem
Use the method diagram to analyze the directed unit-circle rotation \(θ~=~-3\pi~/2\). State its direction, number of complete turns, remaining rotation, least nonnegative coterminal angle, and terminal point.
Answer choices
Choose your path.
⌁ Preview only
A
The rotation is counterclockwise, with 0 complete turns and a remaining counterclockwise rotation of 3pi/2; its least nonnegative coterminal angle is 3pi/2, and its terminal point is (0, -1).
B
The rotation is clockwise, with 0 complete turns and a remaining clockwise rotation of 3pi/2; its least nonnegative coterminal angle is pi/2, and its terminal point is (0, 1).
C
The rotation is clockwise, with 1 complete turn and a remaining counterclockwise rotation of pi/2; its least nonnegative coterminal angle is pi/2, and its terminal point is (0, 1).
D
The rotation is clockwise, with 0 complete turns and a remaining clockwise rotation of 3pi/2; its least nonnegative coterminal angle is 3pi/2, and its terminal point is (0, -1).
The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
Four variants of this problem type
1 2 3 4
Copy link
Print
Curriculum context
Standard F-TF.1
Category Functions
Domain Trigonometric Functions
Objective Understand radian measure as arc length on the unit circle.
Problem type Interpret a directed radian rotation and its terminal point
