Answer :

To Find: General solution.


Given: cos x + sin x = 1 cos (x - ) = = cos( or cos()


[Divide on both sides and cos(x-y) = cos x cos y - sin x sin y]


Formula used: cos = cos = 2n


By using above formula, we have


x - = 2n x = 2n +


x = 2n + or x = 2n - where n I


So general solution is x = 2n + or x = 2n - where n I


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