For the curve

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the curve x=sin⁡tx=\sin t, y=t−cos⁡ty=t-\cos t defined for 0≤t≤2π0\le t\le2\pi, find all values of tt for which the tangent is vertical and state the corresponding xx-coordinate(s).

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