The parametric equations and describe a curve

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The parametric equations x=2sin⁡tx=2\sin t and y=3cos⁡ty=3\cos t describe a curve. Calculate the slope of the tangent when t=π6t=\dfrac{\pi}{6}. (a) −3-\sqrt{3} (b) −23-\dfrac{2}{\sqrt{3}} (c) −32-\dfrac{\sqrt{3}}{2} (d) 32\dfrac{\sqrt{3}}{2}

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