2sinx+3cosx=-2

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Solution for 2sinx+3cosx=-2 equation:


Simplifying
2sinx + 3cosx = -2

Reorder the terms:
3cosx + 2insx = -2

Solving
3cosx + 2insx = -2

Solving for variable 'c'.

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

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

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

Divide each side by '3osx'.
c = -0.6666666667o-1s-1x-1 + -0.6666666667ino-1

Simplifying
c = -0.6666666667o-1s-1x-1 + -0.6666666667ino-1

Reorder the terms:
c = -0.6666666667ino-1 + -0.6666666667o-1s-1x-1

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