What is the periodicity of f(x)=6cos(3x-pi/4) ?

The periodicity of f(x)=6cos(3x-pi/4) is (2pi)/3

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periodicity of f(x)=6cos(3x-pi/4)

periodicity

f (x) = 6 cos (3 x - \frac{π}{4})

\frac{2 π}{3}

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}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

f (x) = 3 x^{2} - 65 x + 1000

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

f (x) = x + 8

f (x) = \frac{x + 8}{x}

x^{2} - 64

What is the periodicity of f(x)=6cos(3x-pi/4) ?
The periodicity of f(x)=6cos(3x-pi/4) is (2pi)/3