What is the periodicity of f(x)=sin(x)+cos(x/2) ?

The periodicity of f(x)=sin(x)+cos(x/2) is 4pi

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periodicity of f(x)=sin(x)+cos(x/2)

periodicity

f (x) = sin (x) + cos (\frac{x}{2})

4 π

Solution steps

The compound periodicity of the sum of periodic functions is the least common multiplier of the periods

sin (x), cos (\frac{x}{2})

Periodicity of

sin (x) : 2 π

Periodicity of

cos (\frac{x}{2}) : 4 π

Combine periods:

2 π, 4 π

= 4 π

f (y) = 8 y^{\frac{1}{3}}

f (x) = \frac{sec ( x )}{tan ( x )}

f (x) = 2 x - 13

y = \frac{2 x}{x ^{2} - 1}

f (x) = x^{2} + 2 x + 1

What is the periodicity of f(x)=sin(x)+cos(x/2) ?
The periodicity of f(x)=sin(x)+cos(x/2) is 4pi