A cycloid is given by

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

Problem

A cycloid is given by x=a(θ−sin⁡θ),  y=a(1−cos⁡θ)x=a(\theta-\sin\theta),\; y=a(1-\cos\theta), where a>0a>0. Find every value of θ\theta in 0<θ<2π0<\theta<2\pi at which the slope of the tangent equals 11.

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