Principle Of Mathematical Induction

Question
CBSEENMA11014299

Prove the following:

sin left parenthesis 2 straight pi plus straight x right parenthesis space equals space sinx

Solution

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