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Rosie's Papers Set A Paper 1 · Q8

Paper 1Functions & graphsAlgebra

The curve below is shown roughly between 0≤x≤2π0\le x\le2\pi. The curve passes through (0,0)(0,0), (π,0)(\pi,0) and (2π,0)(2\pi,0). It is also strictly bounded between y=−1y=-1, y=1y=1 and its maximum value in the range 0≤x≤π0\le x\le\pi occurs at a point where x<π2x<\frac\pi2. Find its equation from the list below. Diagram for question 8

Asin⁡(x)=y3\sin(x)=y^3
Bsin⁡(x−y)=y\sin(x-y)=y
Csin⁡(x+y)=y\sin(x+y)=y
Dsin⁡(xy)=y\sin(xy)=y
Ecos⁡(x+y)=y\cos(x+y)=y
Fcos⁡(x)=y3\cos(x)=y^3
Gcos⁡(x−y)=x\cos(x-y)=x
Hcos⁡(y)=x\cos(y)=x

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