2024 IGCSE Additional Mathematics May/June 0606/13 Q12

5 marks

Solve the equation \(\sec\left(3\theta-\dfrac\pi2\right)=2\) for \(-\dfrac\pi2\leq\theta\leq\dfrac\pi2\). Give your answers in exact form.[5]

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Answer:\(\theta=-\dfrac{7\pi}{18},\dfrac\pi{18},\dfrac{5\pi}{18}\)

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