2026 NYGH P2 Q7
2026 NYGH P2 Q7
IP 4
4 marks
The diagram below shows part of the graph of \(y=a\cos bx+c\), where \(a\), \(b\) and \(c\) are constants.
The point \(A\left(\dfrac{5\pi}{9},3.5\right)\) is a minimum point and the point \(B\left(\dfrac{5\pi}{2},34.5\right)\) is a maximum point of the curve.
- Show that the period of the curve is \(\dfrac{5\pi}{9}\).[1]
- Find the values of \(a\), \(b\) and \(c\).[3]
Solution:
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Answer:(a) \(T=\dfrac{5\pi}{9}\) (b) \(a=-15.5,\ b=\dfrac{18}{5},\ c=19\)
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