2025 IGCSE Additional Mathematics October/November 0606/21 Q4

2025 IGCSE Additional Mathematics October/November 0606/21 Q4

6 marks
  1. Show that \(\dfrac{1-\sin x}{\cos x}+\dfrac{\cos x}{1-\sin x}=2\sec x\).[3]
  2. Hence solve the equation \(\dfrac{1-\sin\frac\theta2}{\cos\frac\theta2}+\dfrac{\cos\frac\theta2}{1-\sin\frac\theta2}=3\) for \(0^\circ\le\theta\le720^\circ\).[3]

Solution:

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Answer:(a) Shown. (b) \(96.4^\circ,623.6^\circ\)

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