cosx-3sinx=-2

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Solution for cosx-3sinx=-2 equation: 


Simplifying
cosx + -3sinx = -2

Solving
cosx + -3insx = -2

Solving for variable 'c'.

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

Add '3insx' to each side of the equation.
cosx + -3insx + 3insx = -2 + 3insx

Combine like terms: -3insx + 3insx = 0
cosx + 0 = -2 + 3insx
cosx = -2 + 3insx

Divide each side by 'osx'.
c = -2o-1s-1x-1 + 3ino-1

Simplifying
c = -2o-1s-1x-1 + 3ino-1

Reorder the terms:
c = 3ino-1 + -2o-1s-1x-1

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