What is the f(x)=(sin(5x)+sin(2x)-sin(x))/(sin(2x)) ?

The f(x)=(sin(5x)+sin(2x)-sin(x))/(sin(2x)) is

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f(x)=(sin(5x)+sin(2x)-sin(x))/(sin(2x))

f (x) = \frac{sin ( 5 x ) + sin ( 2 x ) - sin ( x )}{sin ( 2 x )}

Period : \frac{2 π}{3}

Domain : \frac{2 π}{3} n < x < \frac{π}{2} + \frac{2 π}{3} n or \frac{π}{2} + \frac{2 π}{3} n < x < \frac{2 π}{3} + \frac{2 π}{3} n

Intercepts : None

Asymptotes : None

Interval Notation

Domain : (\frac{2 π}{3} n, \frac{π}{2} + \frac{2 π}{3} n) \cup (\frac{π}{2} + \frac{2 π}{3} n, \frac{2 π}{3} + \frac{2 π}{3} n)

Solution steps

Periodicity of

\frac{sin ( 5 x ) + sin ( 2 x ) - sin ( x )}{sin ( 2 x )} : \frac{2 π}{3}

Domain of

\frac{sin ( 5 x ) + sin ( 2 x ) - sin ( x )}{sin ( 2 x )} : \frac{2 π}{3} n < x < \frac{π}{2} + \frac{2 π}{3} n or \frac{π}{2} + \frac{2 π}{3} n < x < \frac{2 π}{3} + \frac{2 π}{3} n

Axis interception points of

\frac{sin ( 5 x ) + sin ( 2 x ) - sin ( x )}{sin ( 2 x )} :

None

Asymptotes of

\frac{sin ( 5 x ) + sin ( 2 x ) - sin ( x )}{sin ( 2 x )} :

None

y = \frac{- 5}{2 x - 5}

y = - x^{2} - 6 x - 13

f (x) = (x - 3) (2 x - 8)

y = - x - 3

y = 4 x - \frac{2}{3}

What is the f(x)=(sin(5x)+sin(2x)-sin(x))/(sin(2x)) ?
The f(x)=(sin(5x)+sin(2x)-sin(x))/(sin(2x)) is