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MioMath 2024 Paper 1 · Q4

Paper 1Trigonometry

Given that θ2≤2π\theta^2\le2\pi and sin⁡(θ2)=12\sin(\theta^2)=\dfrac{1}{2}

find the product of all possible solutions for θ\theta.

Aπ56\dfrac{\pi\sqrt{5}}{6}
B5π236\dfrac{5\pi^2}{36}
C−π6-\dfrac{\pi}{6}
D7π224\dfrac{7\pi^2}{24}
E11π41296\dfrac{11\pi^4}{1296}
F3π216\dfrac{3\pi^2}{16}

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