June 2025 Paper 3 Q2

2 The diagram shows the graph of \(y = \arctan x\)

Graph of y = arctan x through the origin, with dashed horizontal asymptotes at y = a and y = −a

The graph has horizontal asymptotes at \(y = -a\) and \(y = a\)

State the value of \(a\)

Circle your answer. [1 mark]

  • \(\dfrac{\pi}{4}\)
  • 1
  • \(\dfrac{\pi}{2}\)
  • \(\pi\)