- Explain why the equation \(\tan ^{-1}(3 x)+\tan ^{-1}(10 x)=\theta\), where \(-\pi<\theta<\pi\), has exactly one solution. (1 marks)

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- Solve \(\tan ^{-1}(3 x)+\tan ^{-1}(10 x)=\dfrac{3 \pi}{4}\). (2 marks)

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