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

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

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periodicity of y=5-3cos(x/4-pi/8)

periodicity

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

8 π

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{1}{4}}

Simplify

= 8 π

y = cos (x) + 1

f (x) = x^{4} - 2

f (x) = x^{4} - 18 x^{2}

f (x) = \frac{x - 2}{x - 4}

y = x^{2} + 8 x + 14

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