The curve is considered at the point where

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

Problem

The curve y=csc⁡xy=\csc x is considered at the point where x=π6x=\tfrac{\pi}{6}. Which of the following is the equation of the tangent line at that point? (a) y−2=−4 (x−π6)y-2=-4\,(x-\tfrac{\pi}{6}) (b) y−2=−23 (x−π6)y-2=-2\sqrt{3}\,(x-\tfrac{\pi}{6}) (c) y−2=23 (x−π6)y-2=2\sqrt{3}\,(x-\tfrac{\pi}{6}) (d) y−2=−3 (x−π6)y-2=-\sqrt{3}\,(x-\tfrac{\pi}{6})

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