15*sin(x)-30.9*cos(x)=20

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Solution for 15*sin(x)-30.9*cos(x)=20 equation: 


Simplifying
15sin(x) + -30.9cos(x) = 20

Multiply ins * x
15insx + -30.9cos(x) = 20

Multiply cos * x
15insx + -30.9cosx = 20

Reorder the terms:
-30.9cosx + 15insx = 20

Solving
-30.9cosx + 15insx = 20

Solving for variable 'c'.

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

Add '-15insx' to each side of the equation.
-30.9cosx + 15insx + -15insx = 20 + -15insx

Combine like terms: 15insx + -15insx = 0
-30.9cosx + 0 = 20 + -15insx
-30.9cosx = 20 + -15insx

Divide each side by '-30.9osx'.
c = -0.6472491909o-1s-1x-1 + 0.4854368932ino-1

Simplifying
c = -0.6472491909o-1s-1x-1 + 0.4854368932ino-1

Reorder the terms:
c = 0.4854368932ino-1 + -0.6472491909o-1s-1x-1

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