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

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

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

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

Period : \frac{2 π}{3}

Domain : \frac{2 π}{3} n \leq x < \frac{π}{12} + \frac{2 π}{3} n or \frac{π}{12} + \frac{2 π}{3} n < x < \frac{π}{4} + \frac{2 π}{3} n or \frac{π}{4} + \frac{2 π}{3} n < x < \frac{2 π}{3} + \frac{2 π}{3} n

X Intercepts : (\frac{2 πn}{3}, 0), (\frac{π}{3} + \frac{2 πn}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Interval Notation

Domain : [\frac{2 π}{3} n, \frac{π}{12} + \frac{2 π}{3} n) \cup (\frac{π}{12} + \frac{2 π}{3} n, \frac{π}{4} + \frac{2 π}{3} n) \cup (\frac{π}{4} + \frac{2 π}{3} n, \frac{2 π}{3} + \frac{2 π}{3} n)

Solution steps

Periodicity of

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

Domain of

\frac{sin ( 5 x ) + sin ( x )}{cos ( 2 x )} : \frac{2 π}{3} n \leq x < \frac{π}{12} + \frac{2 π}{3} n or \frac{π}{12} + \frac{2 π}{3} n < x < \frac{π}{4} + \frac{2 π}{3} n or \frac{π}{4} + \frac{2 π}{3} n < x < \frac{2 π}{3} + \frac{2 π}{3} n

Axis interception points of

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

X Intercepts

: (\frac{2 πn}{3}, 0), (\frac{π}{3} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

F (x) = x

y = - 6 x - 7

f (x) = \frac{3}{2} x

- 9 y^{2}, y < 0

g (x) = 7^{x^{3} - x}

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