10. The curve \(C\) has equation \(y = \cos \left( x - \frac { \pi } { 3 } \right) , 0 \leqslant x \leqslant 2 \pi\)
- In the space below, sketch the curve \(C\).
- Write down the exact coordinates of the points at which \(C\) meets the coordinate axes.
- Solve, for \(x\) in the interval \(0 \leqslant x \leqslant 2 \pi\),
$$\cos \left( x - \frac { \pi } { 3 } \right) = \frac { 1 } { \sqrt { 2 } }$$
giving your answers in the form \(k \pi\), where \(k\) is a rational number.