If and is in Quadrant II

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

Problem

If tan⁡θ=−34\tan \theta = -\dfrac{3}{4} and θ\theta is in Quadrant II, which of the following could be the coordinates of the point on the unit circle corresponding to θ\theta? (a) (45,35)\left(\dfrac{4}{5},\dfrac{3}{5}\right) (b) (−35,45)\left(-\dfrac{3}{5},\dfrac{4}{5}\right) (c) (−45,35)\left(-\dfrac{4}{5},\dfrac{3}{5}\right) (d) (−45,−35)\left(-\dfrac{4}{5},-\dfrac{3}{5}\right)

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