# Maths help: URGENT exam soon!!!Watch

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#1
Ok, I have a P1 exam in the next hour or so. Question:

What is the period of Tan(X)? I always though that it was 180. However, something confused me when I was attempting a question, it said 'State the Period of Tan(3x)', I though that the answer would be 180/3 = 60. However the answer said 50, does this mean that the period of Tan(X) is 150? Surely not.

Thanks.
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16 years ago
#2
There is obviously a mistake.

Tan(x) has a period of pi, thus tan(3x) has a period of pi/3
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#3
(Original post by Bigcnee)
There is obviously a mistake.

Tan(x) has a period of pi, thus tan(3x) has a period of pi/3
Thanks Bigcnee, that is what I thought. Phewwwwww.
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16 years ago
#4
I'm just consulting a diagram so i can remember what tan looks like at the axis. You are right that the x axis is divided by 3. Have you not got a program like onmigraph that you can use?
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16 years ago
#5
(Original post by Bigcnee)
There is obviously a mistake.

Tan(x) has a period of pi, thus tan(3x) has a period of pi/3
Well techniclly, its 2 infinitely small amounts less than 180, 60, pi, pi/3 etc, whether its degrees or radians.
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#6
Tan(X) never actually touches -90, or 90 degrees, and repeats itself every 90 degree.
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16 years ago
#7
Hope this helps:

http://www.mathsnet.net/graphs/cutc3.html
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16 years ago
#8
I never actually learnt the tan graph, it never comes up (it probably will now) as long as you know sin and cos and all the transformations you should be fine for trig graphs.
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16 years ago
#9
(Original post by Iluvatar)
Well techniclly, its 2 infinitely small amounts less than 180, 60, pi, pi/3 etc, whether its degrees or radians.
No. lim (x-->Inf) arctanx = pi/2
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16 years ago
#10
Hope the link i posted clarifies things. Good luck for your exam.
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#11
(Original post by G4ry)
Hope the link i posted clarifies things. Good luck for your exam.
Yes, it did, cheers.
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