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The diagram shows two curves. One curve has equation \(y = \sin x\) and the other curve has equation \(y = f ( x )\).
- In order to transform the curve \(y = \sin x\) to the curve \(y = f ( x )\), the curve \(y = \sin x\) is first reflected in the \(x\)-axis.
Describe fully a sequence of two further transformations which are required.
- Find \(\mathrm { f } ( x )\) in terms of \(\sin x\).