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

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


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

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

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

Solving
4cosx + -5insx = 3

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

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

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

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

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

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