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

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

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

periodicity

f (x) = sin (\frac{2 π x}{3} - 3 π)

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

f (x) = \frac{1}{2} x - 4

f (x) = \frac{x ^{3} + 5 x ^{2}}{7 x ^{2} - 3}

f (x) = - 4 cos (x) + 4

\frac{- 3}{x - 2} - 1

f (x) = \frac{x + 3}{8 - x}

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