Sub-topic 1
2025 · National One-Eighth
Free
Solving $\cos x=-\dfrac{\sqrt3}{2}$ for $0\lt x\lt\pi$
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Sub-topic 2
2024 · National Preliminary
Premium
Solving $2\cos x+\sqrt3=0$ for $0\lt x\lt\pi$
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Sub-topic 3
2026 · National One-Eighth
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Solving $2\cos x+\sqrt3=0$ for $\dfrac{\pi}{2}\lt x\lt\pi$
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Sub-topic 4
2025 · National Preliminary
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Solving $\sin x=\dfrac{\sqrt2}{2}$ for $0\lt x\lt\pi$
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Sub-topic 5
2025 · National One-Eighth
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Solving $2\sin^2x-\sin x=0$ for $0\lt x\lt\pi$
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Sub-topic 6
2025 · National One-Eighth
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Solving $2\sin^2x-\sin x=0$ for $0\lt x\lt\pi$
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Sub-topic 7
2026 · National Preliminary
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Solving $(2\sin x-1)(\sqrt2\cos x+1)=0$ for $0\lt x\lt\dfrac{\pi}{2}$
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Sub-topic 8
2025 · Regional Championship
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Solving factorised sin/cos equations such as $(2\sin x-1)(2\cos x+1)=0$
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Sub-topic 9
2026 · National Quarterfinal
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Solving $\sin\left(\theta-\dfrac{\pi}{6}\right)=\dfrac{1}{\sqrt2}$ for $0\lt\theta\lt\pi$
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Sub-topic 10
2026 · National Preliminary
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Solving $\sin(2x-60^\circ)=\dfrac{\sqrt3}{2}$ for $x\gt0$
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Sub-topic 11
2026 · National One-Eighth
Premium
Solving $2\cos x+\sqrt3=0$ for $\dfrac{\pi}{2}\lt x\lt\pi$
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Sub-topic 12
2026 · National One-Eighth
Premium
Solving $(\tan x-1)(\tan x+\sqrt3)=0$ for $0\lt x\lt\pi$
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Sub-topic 13
2026 · National One-Eighth
Premium
Solving $\sin x=-\dfrac{1}{2}$ for $\pi\lt x\lt\dfrac{3\pi}{2}$
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Sub-topic 14
2013 · National Semifinal
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Solving $\cos^2(x)=\dfrac{1}{4}$ for $x$ in $0^\circ$ to $180^\circ$
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Sub-topic 15
2013 · National Semifinal
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Solving $\sin^2(x)=\dfrac{1}{4}$ for $x$ in $0^\circ$ to $180^\circ$
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Sub-topic 16
2013 · National Semifinal
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Solving $\tan^2(x)=1$ for $x$ in $0^\circ$ to $180^\circ$
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Sub-topic 17
2021 · National Quarterfinal
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Solving $\sin^2x-\cos^2x=1$ for $0\lt x\lt\pi$
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Sub-topic 18
2021 · National Preliminary
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Solving $2\sin^2x-\sin x=0$ for $0\lt x\lt\dfrac{\pi}{2}$
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Sub-topic 19
2022 · National Preliminary
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Solving $\cos^2x=\dfrac{1}{2}$ for $0\lt x\lt\pi$
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