What is the parity f(α)=(sin(2α)+sin(α))/(2cos(α)+1) ?

The parity f(α)=(sin(2α)+sin(α))/(2cos(α)+1) is Even

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parity f(α)=(sin(2α)+sin(α))/(2cos(α)+1)

parity

f (α) = \frac{sin ( 2 α ) + sin ( α )}{2 cos ( α ) + 1}

Even

Solution steps

f (- x) : \frac{sin ( 2 α ) + sin ( α )}{2 cos ( α ) + 1}

- f (x) : - \frac{sin ( 2 α ) + sin ( α )}{2 cos ( α ) + 1}

Check parity of

\frac{sin ( 2 α ) + sin ( α )}{2 cos ( α ) + 1}

Check if Even:

True

Check if Odd:

False

Even

f (x) = 1 - 4 x

f (x) = \frac{1}{x + 3} - 5

f (x) = ln (1 - e^{- x})

f (y) = \frac{2 y - 1}{y}

y = 6^{x} - 1

What is the parity f(α)=(sin(2α)+sin(α))/(2cos(α)+1) ?
The parity f(α)=(sin(2α)+sin(α))/(2cos(α)+1) is Even