find the domain of function

[spacewater]

problem
\(\displaystyle f(x) = tan x\) This is an example in the book. I don't understand how the answer came out to be \(\displaystyle x\ is \ not\ equal\frac{\pi}{2}+n\pi\) Can someone explain to me why this is so. (What is the code for not equal sign?)

Thanks

 

[Deleted member 4993]

problem
\(\displaystyle f(x) = tan x\) This is an example in the book. I don't understand how the answer came out to be \(\displaystyle x\ is \ not equal to\frac{\pi}{2}+n\pi\) Can someone explain to me why this is so. (What is the code for not equal sign?)

Thanks

at \(\displaystyle \theta \, = \, \frac{\pi}{2}+n\pi\) we have \(\displaystyle \cos(\theta) \, = \, 0\), hence \(\displaystyle \tan(\theta) \, = \, undefined\)

"not equal to" can be expressed as "<>" such as \(\displaystyle \theta \, <> \, (\frac{\pi}{2}+n\pi)\)

 

[mmm4444bot]

… What is the code for not equal sign? …

\neq

You might find THIS PAGE helpful.

Cheers ~ Mark