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A formula to find the period,
T, of a cyclic phenomena based on the frequency,
f, is
T=(1)/(f). Solve the formula for
f in terms of
T.
Answer:
f=

A formula to find the period, $T$ , of a cyclic phenomena based on the frequency, $f$ , is $T=\frac{1}{f}$ . Solve the formula for $f$ in terms of $T$ . $\newline$ Answer: $f=$

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Write equations of sine and cosine functions using properties

Full solution

Q. A formula to find the period,

T

, of a cyclic phenomena based on the frequency,

f

, is

T=\frac{1}{f}

. Solve the formula for

f

in terms of

T

.

\newline

Answer:

f=

Write Formula: Write down the given formula. $\newline$ The formula given is $T = \frac{1}{f}$ , where $T$ is the period and $f$ is the frequency.
Solve for f: Solve for f. $\newline$ To solve for f, we need to isolate f on one side of the equation. We can do this by taking the reciprocal of both sides of the equation. $\newline$ Taking the reciprocal of both sides, we get $(1)/(T) = f$ .
Check Result: Check the result. $\newline$ We can check our result by substituting the value of $f$ back into the original equation to see if it holds true. $\newline$ Substituting $f = \frac{1}{T}$ into $T = \frac{1}{f}$ , we get $T = \frac{1}{\left(\frac{1}{T}\right)}$ . $\newline$ Simplifying the right side, we have $T = T$ , which is true.

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