3cosx-4sinx=5

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Solution for 3cosx-4sinx=5 equation:


Simplifying
3cosx + -4sinx = 5

Solving
3cosx + -4insx = 5

Solving for variable 'c'.

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

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

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

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

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

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

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