Sinx=cos(x-45)

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Solution for Sinx=cos(x-45) equation: 


Simplifying
Sinx = cos(x + -45)

Reorder the terms:
inxS = cos(-45 + x)
inxS = (-45 * cos + x * cos)
inxS = (-45cos + cosx)

Solving
inxS = -45cos + 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 = -45cn-1osx-1S-1 + cn-1osS-1

Simplifying
i = -45cn-1osx-1S-1 + cn-1osS-1

Reorder the terms:
i = cn-1osS-1 + -45cn-1osx-1S-1

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