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

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

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

periodicity

\frac{2 π}{3}

Decimal

2.09439 \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}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

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