What is the periodicity of f(x)= 5/3 sin(-(2pi)/3 x) ?

The periodicity of f(x)= 5/3 sin(-(2pi)/3 x) is 3

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periodicity of f(x)= 5/3 sin(-(2pi)/3 x)

periodicity

f (x) = \frac{5}{3} sin (- \frac{2 π}{3} x)

3

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{2 π}{3}}

Simplify

= 3

What is the periodicity of f(x)= 5/3 sin(-(2pi)/3 x) ?
The periodicity of f(x)= 5/3 sin(-(2pi)/3 x) is 3