2026 NASS P1 Q6

2026 NASS P1 Q6

Secondary 4
6 marks
  1. Prove that \(\tan x+\dfrac1{\tan x}=\dfrac1{\sin x\cos x}\).[2]
  2. Hence solve \(\dfrac2{\sin x\cos x}=1+3\tan x\) for \(0\le x\le\pi\).[4]

Solution:

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Answer:(a) Identity proven. (b) \(x=\dfrac\pi4\) or \(2.03\) rad.

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