3cosx+5sinx=4

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Solution for 3cosx+5sinx=4 equation: 


Simplifying
3cosx + 5sinx = 4

Solving
3cosx + 5insx = 4

Solving for variable 'c'.

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

Add '-5insx' to each side of the equation.
3cosx + 5insx + -5insx = 4 + -5insx

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

Divide each side by '3osx'.
c = 1.333333333o-1s-1x-1 + -1.666666667ino-1

Simplifying
c = 1.333333333o-1s-1x-1 + -1.666666667ino-1

Reorder the terms:
c = -1.666666667ino-1 + 1.333333333o-1s-1x-1

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