0,5*cos(0.2t)

asked by guest
on Oct 26, 2024 at 4:24 am



MathBot Answer:

The sum of \(0\) and \(5 \cdot \cos\left( 0.2 t \right)\) is:

\[\begin{aligned}&=\left(0\right) + \left(5 \cdot \cos\left( 0.2 t \right)\right) \\\\ &= 5 \cos{\left(2 \cdot \frac{1}{10} t \right)} \\\\ &= 5 \cos{\left(\frac{t}{5} \right)} \\\\\end{aligned}\]

The difference of \(0\) and \(5 \cdot \cos\left( 0.2 t \right)\) is:

\[\begin{aligned}&=\left(0\right) - \left(5 \cdot \cos\left( 0.2 t \right)\right) \\\\ &= - 5 \cos{\left(2 \cdot \frac{1}{10} t \right)} \\\\ &= - 5 \cos{\left(\frac{t}{5} \right)} \\\\\end{aligned}\]

The product of \(0\) and \(5 \cdot \cos\left( 0.2 t \right)\) is:

\[\begin{aligned}&=\left(0\right) \cdot \left(5 \cdot \cos\left( 0.2 t \right)\right) \\\\ &= 0 \\\\\end{aligned}\]

The quotient of \(0\) and \(5 \cdot \cos\left( 0.2 t \right)\) is:

\[\begin{aligned}&= \frac{\left(0\right)}{\left(5 \cdot \cos\left( 0.2 t \right)\right)} \\\\ &= 0 \\\\\end{aligned}\]

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