Vector-Valued Functions

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so I was given the question:

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I assumed that I would do sin(7t)*cos(14t)=0. And solve for values of t that are in the interval. But how would I go about solving for these values?

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If $\sin(7t)\cos(14t)=0$ then we either have $\sin(7t)=0$ or $\cos(14t)=0$. Can you go on from here?