2025 SCGS PRELIMS P2 Q8

2025 SCGS PRELIMS P2 Q8

Secondary 4
8 marks
  1. Prove that \(\sin^3 x \sec^2 x + \sin x = \tan x \sec x\).[4]
  2. Solve the equation \(\sin^3 x \sec^2 x + \sin x = 5\) for \(0 \leq x \leq 360^\circ\).[4]

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Answer:(a) \(\sin^3x\sec^2x+\sin x=\tan x\sec x\). (b) \(x=64.8^\circ\) or \(115.2^\circ\).

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