Find the First Harmonic of the Function $f(x)=$ $\left\{\begin{array}{c}-2 \\2\end{array}\right.$ $\begin{array}{c}-\pi< \\0<\end{array}$

question 42

Multiple Choice

Find the first harmonic of the function $f(x) =$$\left\{\begin{array}{c}-2 \\2\end{array}\right.$ $\begin{array}{c}-\pi< \\0<\end{array}$$\begin{array}{l}x \leq 0 \\x \leq \pi\end{array}$
.

• A) \(-2+\frac{8}{\pi} \sin x\)
• B) \(2-\frac{4}{\pi} \sin x\)
• C) \(\frac{8}{\pi} \sin x\)
• D) \(\frac{4}{\pi} \sin x\)
• E)0

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Definitions:

Financial Return

The profit or loss generated on an investment over a particular period, expressed as a percentage of the investment's initial cost.

Rate of Return

The gain or loss on an investment over a specified period, expressed as a percentage of the investment's cost.

Present Value

The present value of a future amount of money or series of cash flows, discounted at a certain rate of return.

Cash Flows

The total amount of money being transferred into and out of a business, particularly in the context of operating, investing, and financing activities.