inverse of tan question (1 Viewer)

[jen_chik87]

what does the 2 in 4 inverse of tan 2x do?

 

[justchillin]

dude what are u asking...i have no idea...

 

[jemsta]

its nothing
think it doubles the angle??

 

[jen_chik87]

dude what are u asking...i have no idea...

in the inverse of tan graph the range is from pie on 2 to -ve pie on 2 and the domain just goes on forever. well if u put a 3 infront of tan it makes the range go from 3pie on 2 to -ve 3pie on 2. what happense if you put a 2 in tan*(-1) 2x does it make the graph go close to the x axis or closer to the asymptotes?
get me now?

 

[Will Hunting]

Presumably, you're trying to graph y = 4arctan(2x) and want to know how the 2x makes the graph different to 4arctanx?

Well, if you are, it condenses the graph, in the horizontal direction, by a factor of 2 (i.e. it is half as dilated from left to right).

Consider the value, x = 1/2

Now, that will do the same thing as x = 1 will do to 4arctanx, and the y value will be pi/4 in both cases. If this applies to all values of x, then you should be able to picture that the graph will condense as stated.

Note that 4arctan(2x) has horizontal asymptotes, y = +-(2pi) and, hence, a range of -2pi < y < 2pi