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

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


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

Multiply cos * x
4cosx + 3sin(x) = 5

Multiply ins * x
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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