What is the periodicity of f(x)=-2sin(2/3 x-4) ?

The periodicity of f(x)=-2sin(2/3 x-4) is 3pi

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periodicity of f(x)=-2sin(2/3 x-4)

periodicity

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

3 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{2}{3}}

Simplify

= 3 π

f (x) = - 8 x

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

f (x) = \frac{2}{x + 2}

\frac{3 x}{x + 2}

4 sin (x)

What is the periodicity of f(x)=-2sin(2/3 x-4) ?
The periodicity of f(x)=-2sin(2/3 x-4) is 3pi