What is the parity (sin(t)+tcos(t))/(cos(t)-tsin(t)) ?

The parity (sin(t)+tcos(t))/(cos(t)-tsin(t)) is Odd

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parity (sin(t)+tcos(t))/(cos(t)-tsin(t))

parity

\frac{sin ( t ) + t cos ( t )}{cos ( t ) - t sin ( t )}

Odd

Solution steps

f (- t) : \frac{- sin ( t ) - t cos ( t )}{cos ( t ) - t sin ( t )}

- f (t) : - \frac{sin ( t ) + t cos ( t )}{cos ( t ) - t sin ( t )}

Check parity of

\frac{sin ( t ) + t cos ( t )}{cos ( t ) - t sin ( t )}

Check if Even:

False

Check if Odd:

True

Odd

f (x) = x^{4} - 4 x^{2}

2 cos (6 x + \frac{π}{2})

f (x) = \frac{5 - 2 x}{6 x + 3}

f (x) = (x - 2)^{3} - 1

f (x) = - 4 - \frac{9}{2} x

What is the parity (sin(t)+tcos(t))/(cos(t)-tsin(t)) ?
The parity (sin(t)+tcos(t))/(cos(t)-tsin(t)) is Odd