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M3-033-A08-V02
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F-TF.1
Warmup
M3-033-A08-V02
Understand radian measure as arc length on the unit circle.
Generate specified coterminal radian representatives
Problem
Use the method diagram for \(θ~=~-\pi~/4\). Find \(θ~+~2\pi~\), \(θ~-~2\pi~\), the least nonnegative coterminal angle in \([0,~2\pi~)\), and a formula for all coterminal angles using integer \(k\).
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A
theta + 2pi = 7pi/4, theta - 2pi = -9pi/4, the least nonnegative coterminal angle is 7pi/4, and all coterminal angles are -pi/4 + 2pi k for integer k.
B
theta + 2pi = 9pi/4, theta - 2pi = -7pi/4, the least nonnegative coterminal angle is 9pi/4, and all coterminal angles are -pi/4 + 2pi k for integer k.
C
theta + 2pi = 7pi/4, theta - 2pi = -9pi/4, the least nonnegative coterminal angle is -9pi/4, and all coterminal angles are -pi/4 + 2pi k for integer k.
D
theta + pi = 3pi/4, theta - pi = -5pi/4, the least nonnegative coterminal angle is 3pi/4, and all coterminal angles are -pi/4 + pi k for integer k.
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Curriculum context
Standard F-TF.1
Category Functions
Domain Trigonometric Functions
Objective Understand radian measure as arc length on the unit circle.
Problem type Generate specified coterminal radian representatives