What is the periodicity of f(x)=sin((8pix)/5) ?

The periodicity of f(x)=sin((8pix)/5) is 5/4

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periodicity of f(x)=sin((8pix)/5)

periodicity

f (x) = sin (\frac{8 π x}{5})

\frac{5}{4}

Decimal

1.25

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{8 π}{5}}

Simplify

= \frac{5}{4}

What is the periodicity of f(x)=sin((8pix)/5) ?
The periodicity of f(x)=sin((8pix)/5) is 5/4