The curve is given

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The curve x=2sin⁡t,  y=2cos⁡tx=2\sin t,\;y=2\cos t is given. Determine the equation of the normal at t=π3t=\dfrac{\pi}{3}. (a) 3x−y−2=0\sqrt{3}x-y-2=0 (b) x−3 y=0x-\sqrt{3}\,y=0 (c) x+3 y−23=0x+\sqrt{3}\,y-2\sqrt{3}=0 (d) x−3 y+32=0x-\sqrt{3}\,y+\dfrac{\sqrt{3}}{2}=0

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