2.5=3sin(x)+4cos(x)

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Solution for 2.5=3sin(x)+4cos(x) equation:


Simplifying
2.5 = 3sin(x) + 4cos(x)

Multiply ins * x
2.5 = 3insx + 4cos(x)

Multiply cos * x
2.5 = 3insx + 4cosx

Reorder the terms:
2.5 = 4cosx + 3insx

Solving
2.5 = 4cosx + 3insx

Solving for variable 'c'.

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

Add '-4cosx' to each side of the equation.
2.5 + -4cosx = 4cosx + -4cosx + 3insx

Combine like terms: 4cosx + -4cosx = 0
2.5 + -4cosx = 0 + 3insx
2.5 + -4cosx = 3insx

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -4cosx = -2.5 + 3insx

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -4cosx = -2.5 + 3insx
-4cosx = -2.5 + 3insx

Divide each side by '-4osx'.
c = 0.625o-1s-1x-1 + -0.75ino-1

Simplifying
c = 0.625o-1s-1x-1 + -0.75ino-1

Reorder the terms:
c = -0.75ino-1 + 0.625o-1s-1x-1

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