What is the periodicity of f(x)=-4cos(5x-9)-7 ?

The periodicity of f(x)=-4cos(5x-9)-7 is (2pi)/5

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periodicity of f(x)=-4cos(5x-9)-7

periodicity

\frac{2 π}{5}

Decimal

1.25663 \dots

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}{∣ 5 ∣}

Simplify

= \frac{2 π}{5}

What is the periodicity of f(x)=-4cos(5x-9)-7 ?
The periodicity of f(x)=-4cos(5x-9)-7 is (2pi)/5