For the curve and ( )

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

Problem

For the curve

x = t - \sin t

and

y = 1 - \cos t

(

0 < t < \pi

\sin t = \dfrac12

at two points on the curve. Evaluate the slope of the tangent at each of these points.