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Thread: How can I find t?

  1. #1
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    How can I find t?

    2=4cos(5t)
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  2. #2
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    Re: How can I find t?

    $\displaystyle \begin{align*} 4\cos{ \left( 5\,t \right) } &= 2 \\ \cos{ \left( 5\,t \right) } &= \frac{1}{2} \\ 5\,t &= \left\{ -\frac{\pi}{3} , \frac{\pi}{3} \right\} + 2\,\pi\,n \textrm{ where } n \in \mathbf{Z} \\ t &= \left\{ -\frac{\pi}{15} , \frac{\pi}{15} \right\} + \frac{2\,\pi\,n}{5} \end{align*}$
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