Roots, \(\sin \theta\) and \(\cos \theta\)

Geometry Level 2

For a constant \(k\), the two roots of the quadratic equation \[3x^2-x+k=0\] are \(\sin \theta\) and \(\cos \theta.\) What is the value of \(54(\sin^3 \theta+\cos^3 \theta)?\)

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