2025 MSHS PRELIMS P1 Q10
2025 MSHS PRELIMS P1 Q10
Secondary 4
8 marks
- State the amplitude and period of \(2 \sin 3x + 1\).[2]
- Sketch the graph of \(y = 2 \sin 3x + 1\) for \(0 \le x \le \pi\).[3]
- By drawing a suitable straight line on your sketch, determine the number of solutions of the equation \(\pi \sin 3x - x = 0\).[3]
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Answer:(a) Amplitude \(2\), period \(\dfrac{2\pi}{3}\) (b) Midline \(y=1\), maximum \(3\), minimum \(-1\) (c) \(4\) solutions
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