3*sin(x)+4*cos(x)=-5

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Solution for 3*sin(x)+4*cos(x)=-5 equation:


Simplifying
3sin(x) + 4cos(x) = -5

Multiply ins * x
3insx + 4cos(x) = -5

Multiply cos * x
3insx + 4cosx = -5

Reorder the terms:
4cosx + 3insx = -5

Solving
4cosx + 3insx = -5

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.
4cosx + 3insx + -3insx = -5 + -3insx

Combine like terms: 3insx + -3insx = 0
4cosx + 0 = -5 + -3insx
4cosx = -5 + -3insx

Divide each side by '4osx'.
c = -1.25o-1s-1x-1 + -0.75ino-1

Simplifying
c = -1.25o-1s-1x-1 + -0.75ino-1

Reorder the terms:
c = -0.75ino-1 + -1.25o-1s-1x-1

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