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March 31, 2026, 01:36:46 pm

Author Topic: General solution to tan  (Read 929 times)  Share 

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VCE_2012

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General solution to tan
« on: November 06, 2012, 11:48:48 am »
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Correct me if I'm wrong:
Find the general solution to tan(x)=root(3)

after some working

x=pi/3+2*pi*k, (4*pi)/3+2*pi*k,k=Z

daniel034

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Re: General solution to tan
« Reply #1 on: November 06, 2012, 11:51:42 am »
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isn't it just pi*k + pi/3 so you get -2pi/3, pi/3, 4pi/3, 7pi/3 etc
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BubbleWrapMan

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Re: General solution to tan
« Reply #2 on: November 06, 2012, 11:57:22 am »
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Remember that the period of , n > 0 is rather than like and
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

VCE_2012

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Re: General solution to tan
« Reply #3 on: November 06, 2012, 11:58:59 am »
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isn't it just pi*k + pi/3 so you get -2pi/3, pi/3, 4pi/3, 7pi/3 etc
yes, but when I sub k=0 I get the solutions (pi/3 and 4pi/3) which lie between the (0,2pi)
and when I sub in k=1 I get solution which lie between the next revolution.

BubbleWrapMan

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Re: General solution to tan
« Reply #4 on: November 06, 2012, 11:59:55 am »
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Well yes that works but it can be condensed into one expression
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

VCE_2012

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Re: General solution to tan
« Reply #5 on: November 06, 2012, 12:08:06 pm »
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I think it should be

I've seen
Well yes that works but it can be condensed into one expression
Yeh, I am used to it so I'll probably stick to it comes the exam, as long it's mathematically correct.