What is the periodicity of f(x)=3sin((6x)/7+2pi) ?

The periodicity of f(x)=3sin((6x)/7+2pi) is (7pi)/3

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periodicity of f(x)=3sin((6x)/7+2pi)

periodicity

f (x) = 3 sin (\frac{6 x}{7} + 2 π)

\frac{7 π}{3}

Decimal

7.33038 \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{6}{7}}

Simplify

= \frac{7 π}{3}

What is the periodicity of f(x)=3sin((6x)/7+2pi) ?
The periodicity of f(x)=3sin((6x)/7+2pi) is (7pi)/3