What is the graph of f(t)(sin t cos t?

The graph of the function ( f(t) = \sin(t) \cos(t) ) can be simplified using the double-angle identity for sine, resulting in ( f(t) = \frac{1}{2} \sin(2t) ). This function oscillates between -0.5 and 0.5, with a period of ( \pi ). The graph will exhibit a wave-like pattern, with peaks and troughs occurring at intervals of ( \frac{\pi}{2} ). Overall, it is a smooth, continuous curve that represents the amplitude-modulated sine wave.