x=tan(x) help

There are some values of cos(x), sin(x) and tan(x) you're just supposed to know, I think.

Maybe I'm just being stupid but what other solution is there...?

Maybe I'm just being stupid but what other solution is there...?

Okay so what I want to know is, is there a way I can algebraically solve this and get exact answers? Rather than say, looking at a graph and/or doing some sort of iterative process?

x=tan(x)

and if there is, could you show me please?

Much thanks in advance.

There are infinitely many solutions. If you draw a graph of $y=x$ and a graph of $y=\tan x$ on the same axes, then the solutions are all the points at which they intersect (of which there are infinitely many).

You can do some crazy analysis type stuff on the roots though, without calculating them explicitly. For example, if $x_n$ denotes the nth positive root, you can prove that as $n \to \infty$, $x_n \sim \frac{(2n+1)\pi}{2}$.

is that even possible...x and tanx wud be different numbers...how can they equal each other

For example, if x=0 then tan x = 0, so tan x = x. [There]

how wud u find them i imagine u cant use a cast diagram