Mathematics (AS & A Level) · May / June 2021 · Paper 33 · Question 7

x y O P M N For the curve shown in the diagram, the normal to the curve at the point P with coordinates x, y meets the x-axis at N. The point M is the foot of the perpendicular from P to the x-axis. The curve is such that for all values of x in the interval 0 ≤x < 1 2π, the area of triangle PMN is equal to tan x.

Read automatically from the paper; the printed page above is exact.