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2026 NYGH P2 Q10

2026 NYGH P2 Q10

IP 4
10 marks
  1. Solve the equation \(y^4-y^2+6y=0\). Show all your working clearly.[5]
  2. Show that the equation \(3\tan2x=\tan^2x\) can be simplified into \(\tan^4x-\tan^2x+6\tan x=0\).[2]
  3. Hence, solve the equation \(3\tan2x=\tan^2x\) for \(0^\circ\leq x\leq180^\circ\).[3]

Solution:

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Answer:(a) \(y=0,-2\) (b) \(\tan^4x-\tan^2x+6\tan x=0\) (c) \(x=0^\circ,116.6^\circ,180^\circ\)

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