3sinx+5cosx=4

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Solution for 3sinx+5cosx=4 equation: 


Simplifying
3sinx + 5cosx = 4

Reorder the terms:
5cosx + 3insx = 4

Solving
5cosx + 3insx = 4

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

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

Divide each side by '5osx'.
c = 0.8o-1s-1x-1 + -0.6ino-1

Simplifying
c = 0.8o-1s-1x-1 + -0.6ino-1

Reorder the terms:
c = -0.6ino-1 + 0.8o-1s-1x-1

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