Sin(2x)=cos(3x-40)

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Solution for Sin(2x)=cos(3x-40) equation:


Simplifying
Sin(2x) = cos(3x + -40)

Remove parenthesis around (2x)
inS * 2x = cos(3x + -40)

Reorder the terms for easier multiplication:
2inS * x = cos(3x + -40)

Multiply inS * x
2inxS = cos(3x + -40)

Reorder the terms:
2inxS = cos(-40 + 3x)
2inxS = (-40 * cos + 3x * cos)
2inxS = (-40cos + 3cosx)

Solving
2inxS = -40cos + 3cosx

Solving for variable 'i'.

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

Divide each side by '2nxS'.
i = -20cn-1osx-1S-1 + 1.5cn-1osS-1

Simplifying
i = -20cn-1osx-1S-1 + 1.5cn-1osS-1

Reorder the terms:
i = 1.5cn-1osS-1 + -20cn-1osx-1S-1

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