A curve is defined by the parametric equations $$\[ x=3 t-2 \sin t, \quad y=5 t+4 \cos t, \]$$ where $$\(0 \leqslant t \leqslant 2 \pi\)$$. At each of the points $$\(P\)$$ and $$\(Q\)$$ on the curve, the gradient of the curve is $$\(\frac{5}{2}\)$$. Hence find the values of $$\(t\)$$ at the points $$\(P\)$$ and $$\(Q\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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