For the curve on the interval :

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

Problem

For the curve

x=\sin t,\;y=\ln(1+\cos t)

on the interval

0<t<\pi

: (i) Find the sign of

\dfrac{d^{2}y}{dx^{2}}

throughout the interval. (ii) Hence, state whether the curve possesses any point of inflection in this interval.