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

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

(5.5) (- 3.1)

cos (x)

f (x) = \frac{( 4 x ^{3} - 2 )}{( x ^{3} + 3 )}

f (x) = x^{3} - 3 x

2^{x - 4}

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