cos(x)+sin(x)=1

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Solution for cos(x)+sin(x)=1 equation: 


Simplifying
cos(x) + sin(x) = 1

Multiply cos * x
cosx + sin(x) = 1

Multiply ins * x
cosx + insx = 1

Solving
cosx + insx = 1

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1insx' to each side of the equation.
cosx + insx + -1insx = 1 + -1insx

Combine like terms: insx + -1insx = 0
cosx + 0 = 1 + -1insx
cosx = 1 + -1insx

Divide each side by 'osx'.
c = o-1s-1x-1 + -1ino-1

Simplifying
c = o-1s-1x-1 + -1ino-1

Reorder the terms:
c = -1ino-1 + o-1s-1x-1

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