2024 IGCSE Additional Mathematics October/November 0606/23 Q3

2024 IGCSE Additional Mathematics October/November 0606/23 Q3

6 marks
  1. Show that \((2\tan\theta+\sec\theta)(2\tan\theta-\sec\theta)=3\tan^2\theta-1\).[2]
  2. Hence solve the equation \((2\tan\theta+\sec\theta)(2\tan\theta-\sec\theta)=1\) for \(0^\circ\leq\theta\leq180^\circ\).[4]

Solution:

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Answer:(a) Identity shown. (b) \(39.2^\circ,140.8^\circ\).

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