Sketching a tangent curve

Sketching a tangent curve

Secondary 4
5 marks
TGM Original Questions

The curve has equation \(y=2\tan2x\), where \(x\) is measured in degrees.

  1. State its period and the equations of its vertical asymptotes for \(-45^\circ\le x\le45^\circ\).[2]
  2. Sketch the curve for \(-45^\circ<x<45^\circ\), marking its intercept. Explain why it has no amplitude.[3]

Solution:

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Answer:(a) \(90^\circ\); \(x=\pm45^\circ\). (b) See sketch; unbounded, so no amplitude.

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