What is the periodicity of f(x)=sin(3x)+sin(2(pi)x) ?

The periodicity of f(x)=sin(3x)+sin(2(pi)x) is 2pi

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periodicity of f(x)=sin(3x)+sin(2(pi)x)

periodicity

f (x) = sin (3 x) + sin (2 (π) x)

2 π

Solution steps

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

sin (3 x), sin (2 π x)

Periodicity of

sin (3 x) : \frac{2 π}{3}

Periodicity of

sin (2 π x) : 1

Combine periods:

\frac{2 π}{3}, 1

= 2 π

f (x) = 8 - 9 x

y = \frac{7}{5} x + 6, (2, - 6)

f (x) = (8 (\frac{7}{8}) - 7)^{2} = 23

f (x) = x^{3} - 3 x^{2} + 3 x + 1

f (x) = x ln (3 x)

What is the periodicity of f(x)=sin(3x)+sin(2(pi)x) ?
The periodicity of f(x)=sin(3x)+sin(2(pi)x) is 2pi