2026 IGCSE Additional Mathematics February/March 0606/22 Q6

2026 IGCSE Additional Mathematics February/March 0606/22 Q6

5 marks
  1. The diagram shows part of the graph of \(y=1+\tan\dfrac12x\) where \(x\) is measured in degrees.
    1. Write down the period of \(1+\tan\dfrac12x\).[1]
    2. Write down the equation of the asymptote \(A\).[1]
  2. On the axes below, sketch the graph of \(y=3\cos2x+1\) for \(-180^\circ\le x\le180^\circ\).[3]

Solution:

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Answer:(a)(i) \(360^\circ\) (ii) \(x=540^\circ\) (b) Cosine graph shown in the solution, with maximum \(4\) and minimum \(-2\).

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