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

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

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

periodicity

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

\frac{8 π}{5}

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{5}{4}}

Simplify

= \frac{8 π}{5}

f (x) = \frac{1}{x} + 1

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

f (x) = 5 x - 1

\frac{7 x}{5 x - 6}

(- 4, 0), (- 6, - 6)

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