2024 IGCSE Additional Mathematics October/November 0606/13 Q10

2024 IGCSE Additional Mathematics October/November 0606/13 Q10

9 marks
  1. Solve the equation \(7\tan^2\theta+5\tan\theta-2=0\), for \(-180^\circ\leq\theta\leq180^\circ\).[4]
  2. Solve the equation \(3\sin(3\phi-1.5)-2=0\), for \(0<\phi<3\), where \(\phi\) is in radians.[5]

Solution:

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Answer:(a) \(-164.1^\circ,-45^\circ,15.9^\circ,135^\circ\). (b) \(0.743,1.30,2.84\) radians.

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