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(
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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