04-8-2005, 04:10 AM
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#20
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FFR Player
Join Date: Nov 2004
Location: Australia
Posts: 92
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When I think of dividing by zero, I just think of the unit circle. tan(pi/2) is undefined as tan(x) = sin(x)/cos(x), which would result in tan(pi/2) = 1/0. Now, as far as I was taught, the tan function is basically the length of the hypotenuse from the origin to a tangent running vertically from the point (1,0). If the hypotenuse is going up vertically from (0,0), they will never meet, or somehow meet at infinity. That is why a graph of tan(x) has asymptotets at pi/2 adding or subtracting any normal number of pi. The graph flies upwards, approaching infinite. And when you think of it, there is no number of 0's that can go into any number. Is infinite a real number?
Sorry if I didn't make any sense, I am trying to remember something my specialist maths teacher told me at the end of last year. The fact that I am also a "young" maths student doesn't help, along with the fact that I have trouble explaining myself. If anyone can please correct my foggy memory here, please do.
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