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2015-04-20T21:05:59+05:30

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The period of \sin\,x is 2\pi and the period of \tan\,x is \pi.

The pattern repeats every lcm of above individual periods : \text{lcm}(2\pi,\,\pi)~=~2\pi.

So the period of \sin\,x+\tan\,x is 2\pi
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2015-04-21T13:19:38+05:30
The period of  is  and the period of  is .

The pattern repeats every lcm of above individual periods : .

So the period of  is 
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