The curve is given in polar form

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

Problem

The curve

r=2\sin 2\theta

is given in polar form. What is the equation of the normal line to the curve at

\theta=\dfrac{\pi}{4}

? (a)

y=-x+2\sqrt{2}

(b)

y=x+2\sqrt{2}

(c)

y=x

(d)

y=-x