Sin(6x)=cos(5x+3)

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Solution for Sin(6x)=cos(5x+3) equation:


Simplifying
Sin(6x) = cos(5x + 3)

Remove parenthesis around (6x)
inS * 6x = cos(5x + 3)

Reorder the terms for easier multiplication:
6inS * x = cos(5x + 3)

Multiply inS * x
6inxS = cos(5x + 3)

Reorder the terms:
6inxS = cos(3 + 5x)
6inxS = (3 * cos + 5x * cos)
6inxS = (3cos + 5cosx)

Solving
6inxS = 3cos + 5cosx

Solving for variable 'i'.

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

Divide each side by '6nxS'.
i = 0.5cn-1osx-1S-1 + 0.8333333333cn-1osS-1

Simplifying
i = 0.5cn-1osx-1S-1 + 0.8333333333cn-1osS-1

Reorder the terms:
i = 0.8333333333cn-1osS-1 + 0.5cn-1osx-1S-1

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