What is the periodicity of f(x)=2sin(2/3 x-pi/6) ?

The periodicity of f(x)=2sin(2/3 x-pi/6) is 3pi

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periodicity of f(x)=2sin(2/3 x-pi/6)

periodicity

f (x) = 2 sin (\frac{2}{3} x - \frac{π}{6})

3 π

Decimal

9.42477 \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{2}{3}}

Simplify

= 3 π

What is the periodicity of f(x)=2sin(2/3 x-pi/6) ?
The periodicity of f(x)=2sin(2/3 x-pi/6) is 3pi