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Let $x_{1}(t)=\cos (2 \pi n t)$ and $x_{2}(t)=2 \sin (4 \pi n t)$ represent two sinusoids for a positive integer $n$ and $-\infty < t < \infty$.

Which of the following statements about $x_{1}(t)$ and $x_{2}(t)$ is/are valid?

  1. $x_{1}(t)$ and $x_{2}(t)$ are orthogonal to each other over $0 \leq t<1 / n$.
  2. $x_{1}(t)$ and $x_{2}(t)$ are orthonormal to each other over $0 \leq t<1 / n$.
  3. $x_{2}(t)$ is a harmonic of $x_{1}(t)$.
  4. $x_{1}(t)$ and $x_{2}(t)$ are non-orthogonal to each other over $0 \leq t<1 /(2 n)$.

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