What is the periodicity of f(x)=-9cos(-pi/2 x-6)+8 ?

The periodicity of f(x)=-9cos(-pi/2 x-6)+8 is 4

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periodicity of f(x)=-9cos(-pi/2 x-6)+8

periodicity

f (x) = - 9 cos (- \frac{π}{2} x - 6) + 8

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{π}{2}}

Simplify

= 4

f (x) = \frac{2}{x} + 1

f (x) = 3 x + 2

f (x) = \frac{sin ( 4 x )}{1 + sin ( 4 x )}

- 2 x^{2} + x - 8

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

What is the periodicity of f(x)=-9cos(-pi/2 x-6)+8 ?
The periodicity of f(x)=-9cos(-pi/2 x-6)+8 is 4