What is the parity f(x)=(x(cos(4x)-x^3))/(sin(2x)-3) ?

The parity f(x)=(x(cos(4x)-x^3))/(sin(2x)-3) is Neither even nor odd

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parity f(x)=(x(cos(4x)-x^3))/(sin(2x)-3)

parity

f (x) = \frac{x ( cos ( 4 x ) - x ^{3} )}{sin ( 2 x ) - 3}

Neither even nor odd

Solution steps

f (x) : \frac{x cos ( 4 x ) - x ^{4}}{sin ( 2 x ) - 3}

f (- x) : \frac{- x ^{4} - x cos ( 4 x )}{- 3 - sin ( 2 x )}

- f (x) : - \frac{x cos ( 4 x ) - x ^{4}}{sin ( 2 x ) - 3}

Check parity of

\frac{x cos ( 4 x ) - x ^{4}}{sin ( 2 x ) - 3}

Check if Even:

False

Check if Odd:

False

Neither even nor odd

What is the parity f(x)=(x(cos(4x)-x^3))/(sin(2x)-3) ?
The parity f(x)=(x(cos(4x)-x^3))/(sin(2x)-3) is Neither even nor odd