Find the general solution of each of the following equations:
cos x + sin x = 1
To Find: General solution.
Given: cos x + sin x = 1 cos(x - ) = = cos
[divide on both sides and cos(x-y) = cos x cos y - sin x sin y]
Formula used: cos = cos = 2k , k I
x - = 2k x = 2k + x = 2k + or x = 2k +
x = 2k + or x = 2k
So general solution is x = 2n + or x = 2n where n I