Principle Of Mathematical Induction

Question
CBSEENMA11014329

Find general value of x for which:

cos squared straight x space equals space cos squared straight y

Solution

cos squared straight x space equals space cos squared straight y                            rightwards double arrow    2 cos squared straight x space equals space 2 cos squared straight y


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

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