Sinx=cos(x+20)

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Solution for Sinx=cos(x+20) equation: 


Simplifying
Sinx = cos(x + 20)

Reorder the terms:
inxS = cos(20 + x)
inxS = (20 * cos + x * cos)
inxS = (20cos + cosx)

Solving
inxS = 20cos + cosx

Solving for variable 'i'.

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

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

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

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

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