Question
What is the period of the function f(x)=6sin((1)/(4)x) a. 0.25 b. 8pi it d. 6 e. 6pi
Solution
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CarmenElite · Tutor for 8 years
Answer
The period of a sine function in the form f(x) = A * sin(Bx) is given by the formula:<br /><br />Period = $\frac{2\pi}{|B|}$<br /><br />In our function, $f(x) = 6sin(\frac{1}{4}x)$, we have B = $\frac{1}{4}$.<br /><br />Therefore, the period is:<br /><br />Period = $\frac{2\pi}{|\frac{1}{4}|} = \frac{2\pi}{\frac{1}{4}} = 2\pi * 4 = 8\pi$<br /><br />So the correct answer is $\boxed{b. \ 8\pi}$.<br />
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