What is the periodicity of f(x)=sin((2pi)/(8pi)x) ?

The periodicity of f(x)=sin((2pi)/(8pi)x) is 8pi

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periodicity of f(x)=sin((2pi)/(8pi)x)

periodicity

f (x) = sin (\frac{2 π}{8 π} x)

8 π

Decimal

25.13274 \dots

Solution steps

Periodicity of

a \cdot sin (b x + c) + d = \frac{periodicity of sin ( x )}{∣ b ∣}

Periodicity of

sin (x)

2 π

= \frac{2 π}{\frac{1}{4}}

Simplify

= 8 π

What is the periodicity of f(x)=sin((2pi)/(8pi)x) ?
The periodicity of f(x)=sin((2pi)/(8pi)x) is 8pi