2025 CGS PRELIMS P1 Q7

2025 CGS PRELIMS P1 Q7

Secondary 4
6 marks
2025 Crescent Girls' School Prelims A Math Paper 1

The diagram shows the curve \(y=a\cos bx+c\) for \(0\leq x\leq \frac{3\pi}{2}\) radians.

A minimum point \(\left(\frac{\pi}{2},-2\right)\) and a maximum point \(\left(\frac{5\pi}{4},4\right)\) are indicated on the diagram.

  1. Explain why \(b=4\).[2]
  2. Explain why \(c=1\).[2]
  3. Hence find the equation of the curve.[2]

Solution:

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Answer:(a) \(b=4\) (b) \(c=1\) (c) \(y=-3\cos 4x+1\)

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