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MioMath 2024 Paper 2 · Q9

Paper 2Logic & proofTrigonometry

Which of the following is a necessary but insufficient condition for sin⁡x>12\sin x>\dfrac{1}{2}?

Acos⁡x=0\cos x=0
B12sin⁡x<14\dfrac{1}{2}\sin x<\dfrac{1}{4}
Ctan⁡x2=1\tan\dfrac{x}{2}=1
Dcos⁡x<32\cos x<\dfrac{\sqrt{3}}{2}
Esin⁡2x>94\sin^2x>\dfrac{9}{4}

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