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December 24, 2025, 02:11:42 am

Author Topic: Quick question regarding general solutions of trigonometric functions  (Read 1168 times)  Share 

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Whatlol

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when you are stating the general solutions, they always write where n is all elements of Z or J. What does Z and J stand for, im guessing its positive numbers or something.

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the.watchman

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Re: Quick question regarding general solutions of trigonometric functions
« Reply #1 on: September 23, 2010, 01:35:36 pm »
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Integers, can be negative also
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superflya

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Re: Quick question regarding general solutions of trigonometric functions
« Reply #2 on: September 23, 2010, 01:36:23 pm »
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denotes integers, which are all positive and negative natural numbers including 0 e.g -2,-5, 8
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Whatlol

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Re: Quick question regarding general solutions of trigonometric functions
« Reply #3 on: September 23, 2010, 01:37:04 pm »
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So is J all positive integers?
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98.40_for_sure

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Re: Quick question regarding general solutions of trigonometric functions
« Reply #4 on: September 23, 2010, 01:45:06 pm »
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Z (older textbooks use J) represent ALL the whole numbers, 0 included ie. all positive and negative.
so i guess your question is J = Z? it is. i would use Z in exams though

EDIT: if you want to be specific and ensure examiners don't get confused, you can always use words to explain.
eg. J, where J is an integer
or you can define the domain such as Z+ for positive integers
« Last Edit: September 23, 2010, 01:48:51 pm by 99.95_for_sure »
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Whatlol

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Re: Quick question regarding general solutions of trigonometric functions
« Reply #5 on: September 23, 2010, 01:48:28 pm »
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Z (older textbooks use J) represent ALL the whole numbers, 0 included ie. all positive and negative.
so i guess your question is J = Z? it is. i would use Z in exams though

oh ok, i kept getting confused when exams have J and then sometimes Z and i thought that there was a difference.
thanks for clearing that up (=
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