Official papers

Official 2017 Paper 2 · Q12

Paper 2Logic & proofTrigonometry

The diagram shows the graphs of y=sin⁡2xy=\sin2x and y=cos⁡2xy=\cos2x for −π2<x<π2-\frac\pi2<x<\frac\pi2. Diagram for question 12 Which one of the following is not true?

Acos⁡2x<sin⁡2x<tan⁡x\cos2x<\sin2x<\tan x for some real number xx with −π2<x<π2-\frac\pi2<x<\frac\pi2
Bcos⁡2x<tan⁡x<sin⁡2x\cos2x<\tan x<\sin2x for some real number xx with −π2<x<π2-\frac\pi2<x<\frac\pi2
Csin⁡2x<cos⁡2x<tan⁡x\sin2x<\cos2x<\tan x for some real number xx with −π2<x<π2-\frac\pi2<x<\frac\pi2
Dsin⁡2x<tan⁡x<cos⁡2x\sin2x<\tan x<\cos2x for some real number xx with −π2<x<π2-\frac\pi2<x<\frac\pi2
Etan⁡x<sin⁡2x<cos⁡2x\tan x<\sin2x<\cos2x for some real number xx with −π2<x<π2-\frac\pi2<x<\frac\pi2
Ftan⁡x<cos⁡2x<sin⁡2x\tan x<\cos2x<\sin2x for some real number xx with −π2<x<π2-\frac\pi2<x<\frac\pi2

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