What is the periodicity of 4cos(1/3 x+pi/4)+1 ?

The periodicity of 4cos(1/3 x+pi/4)+1 is 6pi

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periodicity of 4cos(1/3 x+pi/4)+1

periodicity

4 cos (\frac{1}{3} x + \frac{π}{4}) + 1

6 π

Decimal

18.84955 \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}{\frac{1}{3}}

Simplify

= 6 π

What is the periodicity of 4cos(1/3 x+pi/4)+1 ?
The periodicity of 4cos(1/3 x+pi/4)+1 is 6pi