Why is it that you divide the angle value in the trig function by #2pi# to get the period?

1 Answer
Shwetank Mauria
Jul 27, 2018

This is because a complete rotation represents #2pi# radians.

Explanation:

We measure angles anticlockwise from #x#-axis and call these positive angles. Now as we rotate, angle (in radians) increases up to #2pi# and after that it just repeats in the cycle of #2pi# and hence trigonometric ratios too repeat.

Hence when we divide the angle by #2pi#, the trigonometric ratio of the remainder is same as that of the complete angle.

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