Determine the coordinates on the unit circle for .

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Determine the coordinates (cos⁡θ,sin⁡θ)(\cos \theta, \sin \theta) on the unit circle for θ=−13π4\theta = -\dfrac{13\pi}{4}. (a) (22,  −22)\left(\dfrac{\sqrt{2}}{2},\; -\dfrac{\sqrt{2}}{2}\right) (b) (−22,  22)\left(-\dfrac{\sqrt{2}}{2},\; \dfrac{\sqrt{2}}{2}\right) (c) (−22,  −22)\left(-\dfrac{\sqrt{2}}{2},\; -\dfrac{\sqrt{2}}{2}\right) (d) (22,  22)\left(\dfrac{\sqrt{2}}{2},\; \dfrac{\sqrt{2}}{2}\right)

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