Thread: Arctan(0)
View Single Post
whozum
#2
Apr12-05, 03:42 AM
P: 2,219
Arctan(x) = Pi means x = tan(pi)

[tex] tan(\pi) = \frac{0up}{1left} = 0 [/tex]

Arctan(x) = 0 means x = tan(0)

[tex] tan(0) = \frac{0up}{1right} = 0 [/tex]

Get it?

2. The answer is in limits.

[tex] arctan(1/0) = undefined [/tex]

However the limit is defined:

[tex] \lim x\rightarrow 0 \mbox{ of } arctan(1/x) = \frac{\pi}{2} [/tex]

Try graphing the function arctan(x) and use the trace tool to see the values at those points.