What is the periodicity of f(x)=sin(8x)+sin(9x) ?

The periodicity of f(x)=sin(8x)+sin(9x) is 2pi

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periodicity of f(x)=sin(8x)+sin(9x)

periodicity

f (x) = sin (8 x) + sin (9 x)

2 π

Solution steps

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

sin (8 x), sin (9 x)

Periodicity of

sin (8 x) : \frac{π}{4}

Periodicity of

sin (9 x) : \frac{2 π}{9}

Combine periods:

\frac{π}{4}, \frac{2 π}{9}

= 2 π

e^{x} - 5

y = x^{2} - 4 x + 8 + 1

f (x) = 5 tan (\frac{1}{2} θ - π) + 2

8 x - 2 y = - 9

x^{2} - 3 x

What is the periodicity of f(x)=sin(8x)+sin(9x) ?
The periodicity of f(x)=sin(8x)+sin(9x) is 2pi