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Principle Of Mathematical Induction

Question

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Prove the following:

$tan space left parenthesis 2 straight pi plus straight x right parenthesis space equals space tanx$

Solution

As tanx is periodic function of period $straight pi$ . Hence, an integral multiple of $straight pi$ can be added or subtracted from the angle.
$tan left parenthesis 2 straight pi plus straight x right parenthesis space equals space tan left parenthesis 2 straight pi plus straight x minus 2 straight pi right parenthesis equals tanx$
Hence, $tan left parenthesis 2 straight pi plus straight x right parenthesis space equals space tanx$

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Find 1 radian angle in degrees, minutes, seconds.

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