Determine the equation of the normal line to the curve (y= x ) at the point (( /2,1) ).

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

Problem

Determine the equation of the normal line to the curve y=csc⁡xy=\csc x at the point (π/2,1)(\pi/2,1). (a) y=1y=1 (b) y=−x+π2+1y=-x+\dfrac{\pi}{2}+1 (c) x=π2x=\dfrac{\pi}{2} (d) x=1x=1

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