Chapter 9.4, Problem 16E

In Problems 13-19, determine whether the given vector functions are linearly dependent $\left(LD\right)$ or linearly independent $\left(LI\right)$ on the interval $\left(-\infty ,\infty \right)$.

$\left[\begin{array}{c}\sin t\\ \cos t\end{array}\right]\text{, }\left[\begin{array}{c}\sin 2t\\ \cos 2t\end{array}\right]$