2025 MSHS PRELIMS P1 Q8
2025 MSHS PRELIMS P1 Q8
Secondary 4
7 marks
- Prove the identity \(\dfrac{\sin x}{1-\cos x}+\dfrac{1-\cos x}{\sin x}=2\cosec x\).[4]
- Hence solve the equation \(\dfrac{\sin x}{1-\cos x}+\dfrac{1-\cos x}{\sin x}=5\) for \(0\leq x\leq 2\pi\).[3]
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Answer:(a) \(2\cosec x\) (b) \(x=0.412\) or \(x=2.73\) radians
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