What is the periodicity of f(x)=(sin(3x))/(sin(x)cos(x)) ?

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

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periodicity of f(x)=(sin(3x))/(sin(x)cos(x))

periodicity

f (x) = \frac{sin ( 3 x )}{sin ( x ) cos ( x )}

2 π

Solution steps

\frac{sin ( 3 x )}{sin ( x ) cos ( x )}

is composed of the following functions and periods:

sin (3 x)

with periodicity of

\frac{2 π}{3}

The compound periodicity is:

= 2 π

y = 3 x^{2} sin (x)

y = 2 x^{3} + 3 x^{2} - 36 x

f (x) = 7 x^{2} + 2 x

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

f (x) = 9 x^{2} + 8 x + 8

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