Sinx-2=3cosx

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Solution for Sinx-2=3cosx equation: 


Simplifying
Sinx + -2 = 3cosx

Reorder the terms:
-2 + inxS = 3cosx

Solving
-2 + inxS = 3cosx

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 2 + inxS = 2 + 3cosx

Combine like terms: -2 + 2 = 0
0 + inxS = 2 + 3cosx
inxS = 2 + 3cosx

Divide each side by 'nxS'.
i = 2n-1x-1S-1 + 3cn-1osS-1

Simplifying
i = 2n-1x-1S-1 + 3cn-1osS-1

Reorder the terms:
i = 3cn-1osS-1 + 2n-1x-1S-1

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