.27386=.4*sinx+.5*cosx

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Solution for .27386=.4*sinx+.5*cosx equation:


Simplifying
0.27386 = 0.4sinx + 0.5cosx

Reorder the terms:
0.27386 = 0.5cosx + 0.4insx

Solving
0.27386 = 0.5cosx + 0.4insx

Solving for variable 'c'.

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

Add '-0.5cosx' to each side of the equation.
0.27386 + -0.5cosx = 0.5cosx + -0.5cosx + 0.4insx

Combine like terms: 0.5cosx + -0.5cosx = 0.0
0.27386 + -0.5cosx = 0.0 + 0.4insx
0.27386 + -0.5cosx = 0.4insx

Add '-0.27386' to each side of the equation.
0.27386 + -0.27386 + -0.5cosx = -0.27386 + 0.4insx

Combine like terms: 0.27386 + -0.27386 = 0.00000
0.00000 + -0.5cosx = -0.27386 + 0.4insx
-0.5cosx = -0.27386 + 0.4insx

Divide each side by '-0.5osx'.
c = 0.54772o-1s-1x-1 + -0.8ino-1

Simplifying
c = 0.54772o-1s-1x-1 + -0.8ino-1

Reorder the terms:
c = -0.8ino-1 + 0.54772o-1s-1x-1

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