sinx+cosx=2

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Solution for sinx+cosx=2 equation: 


Simplifying
sinx + cosx = 2

Reorder the terms:
cosx + insx = 2

Solving
cosx + insx = 2

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 = 2 + -1insx

Combine like terms: insx + -1insx = 0
cosx + 0 = 2 + -1insx
cosx = 2 + -1insx

Divide each side by 'osx'.
c = 2o-1s-1x-1 + -1ino-1

Simplifying
c = 2o-1s-1x-1 + -1ino-1

Reorder the terms:
c = -1ino-1 + 2o-1s-1x-1

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