Consider the curve for

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

Problem

Consider the curve x=sin⁡t,  y=sin⁡2tx=\sin t,\; y=\sin 2t for 0<t<2π0<t<2\pi. How many values of tt in this interval give a horizontal tangent and how many give a vertical tangent, respectively? (a) 4 horizontal, 4 vertical (b) 4 horizontal, 2 vertical (c) 2 horizontal, 4 vertical (d) 2 horizontal, 2 vertical

Related theory

Browse the problem library