2026 IGCSE Additional Mathematics May/June 0606/21 Q5

2026 IGCSE Additional Mathematics May/June 0606/21 Q5

9 marks

It is given that \(y=\tan^3 5x\).

  1. Find \(\dfrac{\mathrm dy}{\mathrm dx}\) in terms of \(\tan5x\).[4]
  2. Hence solve the equation \(\dfrac{\mathrm dy}{\mathrm dx}=0\) for \(0\le x<\dfrac{4\pi}{5}\).[5]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(15\tan^2 5x(1+\tan^2 5x)\) (b) \(x=0,\dfrac\pi5,\dfrac{2\pi}5,\dfrac{3\pi}5\).

Need help? Join our JC Math tuition classes.

Learn more