2025 AHS PRELIMS P2 Q1
2025 AHS PRELIMS P2 Q1
Secondary 4
7 marks
- Show that \(\dfrac{4}{\cot \theta-\tan \theta}=2\tan 2\theta\).[4]
- Hence, solve the equation \(\dfrac{4}{\cot 2x-\tan 2x}=5\) for \(0<x<\pi\).[3]
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Answer:(a) \(\dfrac{4}{\cot\theta-\tan\theta}=2\tan2\theta\) (shown) (b) \(x=0.298,\ 1.08,\ 1.87\text{ or}\hspace{0.5em}2.65\text{ rad}\)
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