What is the periodicity of 3sin(1/4 x-5/3 pi)-3 ?

The periodicity of 3sin(1/4 x-5/3 pi)-3 is 8pi

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periodicity of 3sin(1/4 x-5/3 pi)-3

periodicity

3 sin (\frac{1}{4} x - \frac{5}{3} π) - 3

8 π

Decimal

25.13274 \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{1}{4}}

Simplify

= 8 π

What is the periodicity of 3sin(1/4 x-5/3 pi)-3 ?
The periodicity of 3sin(1/4 x-5/3 pi)-3 is 8pi