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JingleBells
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In Video lecture 05 round about 37' where Pr. Jerison draws the f(x)=tan(x) and f(x)=arctan(x) the two curve crosses where if I plug in real data I can't get the same results, did he lowered the curve to just to illustrate the symmetry along the y=x line or do you have to do some kind of stretch to get the same picture?
 2 years ago
 2 years ago
JingleBells Group Title
In Video lecture 05 round about 37' where Pr. Jerison draws the f(x)=tan(x) and f(x)=arctan(x) the two curve crosses where if I plug in real data I can't get the same results, did he lowered the curve to just to illustrate the symmetry along the y=x line or do you have to do some kind of stretch to get the same picture?
 2 years ago
 2 years ago

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keshavsarda Group TitleBest ResponseYou've already chosen the best response.0
both are inverse function.........so they are symmetric to line y=x
 2 years ago

JingleBells Group TitleBest ResponseYou've already chosen the best response.0
Thanks, that bit I get, what I'm not sure about is that does the graph of tanx and arctanx overlap or not.
 2 years ago

keshavsarda Group TitleBest ResponseYou've already chosen the best response.0
yes they meet at y=x=1
 2 years ago

JingleBells Group TitleBest ResponseYou've already chosen the best response.0
So do you know what I could do to get the same graph as in the video where the two curves cross each other?
 2 years ago

keshavsarda Group TitleBest ResponseYou've already chosen the best response.0
no, u cant draw that graps....because we are not accurate. But u can roughly sketch it
 2 years ago

JingleBells Group TitleBest ResponseYou've already chosen the best response.0
I have quick graph on my iPhone and the two graphs never cross that's why I'm asking :)
 2 years ago

keshavsarda Group TitleBest ResponseYou've already chosen the best response.0
dw:1340852698875:dw
 2 years ago

JingleBells Group TitleBest ResponseYou've already chosen the best response.0
Thanks but if you plotted the two graphs with real values of tan(x) and arctan(x) they don't cross at all.
 2 years ago

kutulu Group TitleBest ResponseYou've already chosen the best response.1
if you watch the recitation video for Session 15, it addresses your question. The profession drew the graph of arctan wrong. Within the single domain of pi/2 > pi/2, the only place that tan and arctan cross is at x=0. Arctan should be *below* y=x everywhere else while tan should be *above* y=x everywhere else.
 2 years ago

kutulu Group TitleBest ResponseYou've already chosen the best response.1
erm. make that The professor* drew the graph...
 2 years ago

JingleBells Group TitleBest ResponseYou've already chosen the best response.0
Thanks a million! I'm using iTunes U to watch the videos and I will, from now, watch the recitations on the web! :)
 2 years ago
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