What is the periodicity of f(x)=3cos((8pix)/5-4/3) ?

The periodicity of f(x)=3cos((8pix)/5-4/3) is 5/4

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periodicity of f(x)=3cos((8pix)/5-4/3)

periodicity

f (x) = 3 cos (\frac{8 π x}{5} - \frac{4}{3})

\frac{5}{4}

Solution steps

Periodicity of

a \cdot cos (b x + c) + d = \frac{periodicity of cos ( x )}{∣ b ∣}

Periodicity of

cos (x)

2 π

= \frac{2 π}{\frac{8 π}{5}}

Simplify

= \frac{5}{4}

x - 5 - 5

f (x) = lo g_{5} (\frac{( x + 1 )}{x})

y = - 5

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

f (x) = 3 - 1 - x^{2}

What is the periodicity of f(x)=3cos((8pix)/5-4/3) ?
The periodicity of f(x)=3cos((8pix)/5-4/3) is 5/4