# 3(sinx-cosx)=cosx

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## Solution for 3(sinx-cosx)=cosx equation:

Simplifying
3(sinx + -1cosx) = cosx
Reorder the terms:
3(-1cosx + insx) = cosx
(-1cosx * 3 + insx * 3) = cosx
(-3cosx + 3insx) = cosx
Solving
-3cosx + 3insx = cosx
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-1cosx' to each side of the equation.
-3cosx + -1cosx + 3insx = cosx + -1cosx
Combine like terms: -3cosx + -1cosx = -4cosx
-4cosx + 3insx = cosx + -1cosx
Combine like terms: cosx + -1cosx = 0
-4cosx + 3insx = 0
Add '-3insx' to each side of the equation.
-4cosx + 3insx + -3insx = 0 + -3insx
Combine like terms: 3insx + -3insx = 0
-4cosx + 0 = 0 + -3insx
-4cosx = 0 + -3insx
Remove the zero:
-4cosx = -3insx
Divide each side by '-4osx'.
c = 0.75ino-1
Simplifying
c = 0.75ino-1`