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Official 2023 Paper 2 · Q12

Paper 2Logic & proofTrigonometryFunctions & graphsAlgebra

In this question, pp is a real constant.

The equation sin⁡xcos⁡2x=p2sin⁡x\sin x\cos^2x=p^2\sin x has nn distinct solutions in the range 0≤x≤2π0\le x\le2\pi.

Which of the following statements is/are true?

  • I. n=3n=3 is sufficient for p>1p>1.
  • II. n=7n=7 only if −1<p<1-1<p<1.
Anone of them
BI only
CII only
DI and II

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