Principle Of Mathematical Induction

Question
CBSEENMA11014328

Find general value of x for which:

sin squared straight x space equals space sin squared straight y

Solution

sin squared straight x space equals space sin squared straight y
rightwards double arrow         2 space sin squared straight x space equals space 2 space sin squared straight y           rightwards double arrow      1 - cos2x = 1 - cos2y
rightwards double arrow          cos 2 straight x equals cos 2 straight y                rightwards double arrow           space space space space 2 straight x equals 2 nπ plus-or-minus 2 straight y comma where straight n element of straight Z


rightwards double arrow              space space straight x equals nπ plus-or-minus straight y comma where straight n space element of space straight Z

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