Mathematics

Problem

Consider the curve

x=\sin t,\; y=\sin 2t

for

0<t<2\pi

. How many values of

t

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

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