The point lies on the unit circle

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

Problem

The point (32, 12)\bigl(\dfrac{\sqrt{3}}{2},\,\dfrac{1}{2}\bigr) lies on the unit circle. Find tan⁡θ\tan \theta, where θ\theta is the corresponding angle. (a) 3\sqrt{3} (b) −33-\dfrac{\sqrt{3}}{3} (c) 33\dfrac{\sqrt{3}}{3} (d) 34\dfrac{\sqrt{3}}{4}

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