12 The diagram shows the curve with parametric equations \(x = 2 \cosh t + \sinh t , y = \cosh t - 2 \sinh t\).
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- The curve crosses the positive \(x\)-axis at A .
- Determine the value of the parameter \(t\) at A , giving your answer in logarithmic form.
- Find the \(x\)-coordinate of A , giving your answer correct to \(\mathbf { 3 }\) significant figures.
- The point B has parameter \(t = 0\).
Determine the equation of the tangent to the curve at B .