9 The equation of a curve, in polar coordinates, is
$$r = \sec \theta + \tan \theta , \quad \text { for } 0 \leqslant \theta \leqslant \frac { 1 } { 3 } \pi$$
- Sketch the curve.
- Find the exact area of the region bounded by the curve and the lines \(\theta = 0\) and \(\theta = \frac { 1 } { 3 } \pi\).
- Find a cartesian equation of the curve.
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