The parametric equations and describe a curve

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The parametric equations x=3cos⁡tx = 3\cos t and y=3sin⁡t+ty = 3\sin t + t describe a curve. Determine the slope of the tangent to the curve at t=π3t = \dfrac{\pi}{3}.

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