4cosx-6sinx=5

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Solution for 4cosx-6sinx=5 equation: 


Simplifying
4cosx + -6sinx = 5

Solving
4cosx + -6insx = 5

Solving for variable 'c'.

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

Add '6insx' to each side of the equation.
4cosx + -6insx + 6insx = 5 + 6insx

Combine like terms: -6insx + 6insx = 0
4cosx + 0 = 5 + 6insx
4cosx = 5 + 6insx

Divide each side by '4osx'.
c = 1.25o-1s-1x-1 + 1.5ino-1

Simplifying
c = 1.25o-1s-1x-1 + 1.5ino-1

Reorder the terms:
c = 1.5ino-1 + 1.25o-1s-1x-1

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