SOLUTION: why the range of tan x is from -infinity to + infinity? thanks

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Question 512365: why the range of tan x is from -infinity to + infinity?
thanks
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Note that tan x = sin x/cos x. If cos x approaches 0 from the positive direction, sin x can approach 1 or -1, hence the limit is infinity.

Another way you could do it is simply graph f(x) = tan x.