What is the periodicity of f(x)=-6/7 sin(9/8 x) ?

The periodicity of f(x)=-6/7 sin(9/8 x) is (16pi)/9

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periodicity of f(x)=-6/7 sin(9/8 x)

periodicity

f (x) = - \frac{6}{7} sin (\frac{9}{8} x)

\frac{16 π}{9}

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{9}{8}}

Simplify

= \frac{16 π}{9}

\frac{2 x}{2}

f (x) = 5 x^{2} + 4 x - 9

\frac{2}{x ^{2} + 1}

x^{2} - 2 x - 2

y = - \frac{1}{5} x - 4

What is the periodicity of f(x)=-6/7 sin(9/8 x) ?
The periodicity of f(x)=-6/7 sin(9/8 x) is (16pi)/9