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Unattributed TMUA Mock Set B Paper 1 · Q18

Paper 1TrigonometryAlgebra

The equation ∣sin⁡x∣x=k\dfrac{|\sin x|}{x}=k (k>0k>0) has exactly two different real solutions θ,φ\theta,\varphi (with θ>φ\theta>\varphi). Which of the following statements is correct?

Asin⁡φ=φcos⁡θ\sin\varphi=\varphi\cos\theta
Bsin⁡φ=−φcos⁡θ\sin\varphi=-\varphi\cos\theta
Ccos⁡φ=θsin⁡θ\cos\varphi=\theta\sin\theta
Dsin⁡θ=−θsin⁡φ\sin\theta=-\theta\sin\varphi

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