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2026 CSS P2 Q9
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2026 CSS P2 Q9
Secondary 4
10 marks
Prove that \(\operatorname{cosec}2x+\cot2x=\cot x\).
[4]
Hence, deduce the value of \(\cot15^\circ\) in surd form.
[2]
Solve the equation \((\operatorname{cosec}2x+\cot2x)^2=3\) for \(0^\circ\le x\le360^\circ\).
[4]
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Answer:
(a) Identity proved. (b) \(2+\sqrt3\). (c) \(30^\circ,150^\circ,210^\circ,330^\circ\).
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