Understanding Odd and Even Functions in Trigonometry

[yungman]

Just want to verify

$e^{jx\cos(\theta)}$ is EVEN function respect to $\theta$ as $e^{jx\cos(-\theta)}=e^{jx\cos(\theta)}$

BUT

$e^{jx\sin\theta\;}$ is neither ODD nor EVEN because $\;e^{jx\sin(-\theta)}=e^{-jx\sin(\theta)}\neq\;^+_- e^{jx\sin\theta}$

Thanks

 

[dirk_mec1]

True.

 

[yungman]

True.

Thanks

Also $\sin(x\cos\theta)$ is an EVEN function as $\sin[x\cos(-\theta)]=sin(x\cos\theta)$.

Thanks for your help.

 

[dirk_mec1]

Yes, w.r.t to theta.

 

[yungman]

Yes, w.r.t to theta.

Thanks

What is w.r.t?

 

[SteamKing]

w.r.t. = 'with respect to'