What is the periodicity of f(x)=5*cos((2*pi*x)/3) ?

The periodicity of f(x)=5*cos((2*pi*x)/3) is 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

periodicity of f(x)=5cos((2pi*x)/3)

periodicity

f (x) = 5 \cdot cos (\frac{2 \cdot π \cdot x}{3})

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}{\frac{2 π}{3}}

Simplify

= 3

What is the periodicity of f(x)=5*cos((2*pi*x)/3) ?
The periodicity of f(x)=5*cos((2*pi*x)/3) is 3