2025 IGCSE Additional Mathematics May/June 0606/23 Q5

2025 IGCSE Additional Mathematics May/June 0606/23 Q5

4 marks

In this question, all angles are in radians.

  1. Write down the period of \(5\tan\left(\dfrac x4\right)+1\).[1]
  2. On the axes, sketch the graph of \(y=5\tan\left(\dfrac x4\right)+1\) for \(-2\pi\le x\le4\pi\).
    State the intercept with the \(y\)-axis.
    Show clearly the positions of any asymptotes.[3]

Solution:

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Answer:(a) \(4\pi\) (b) Intercept \((0,1)\); asymptotes \(x=-2\pi\), \(x=2\pi\); sketch shown.

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