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Official 2020 Paper 2 · Q9

Paper 2TrigonometryFunctions & graphs

A student wishes to evaluate the function f(x)=xsin⁡xf(x)=x\sin x, where xx is in radians, but has a calculator that only works in degrees.

What could the student type into their calculator to correctly evaluate f(4)f(4)?

A(π×4÷180)×sin⁡(4)(\pi\times4\div180)\times\sin(4)
B(π×4÷180)×sin⁡(π×4÷180)(\pi\times4\div180)\times\sin(\pi\times4\div180)
C4×sin⁡(π×4÷180)4\times\sin(\pi\times4\div180)
D(180×4÷π)×sin⁡(4)(180\times4\div\pi)\times\sin(4)
E(180×4÷π)×sin⁡(180×4÷π)(180\times4\div\pi)\times\sin(180\times4\div\pi)
F4×sin⁡(180×4÷π)4\times\sin(180\times4\div\pi)

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