Sin(7x-4)=cos(x-2)

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Solution for Sin(7x-4)=cos(x-2) equation: 


Simplifying
Sin(7x + -4) = cos(x + -2)

Reorder the terms:
inS(-4 + 7x) = cos(x + -2)
(-4 * inS + 7x * inS) = cos(x + -2)
(-4inS + 7inxS) = cos(x + -2)

Reorder the terms:
-4inS + 7inxS = cos(-2 + x)
-4inS + 7inxS = (-2 * cos + x * cos)
-4inS + 7inxS = (-2cos + cosx)

Solving
-4inS + 7inxS = -2cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
2cos + -1cosx + -4inS + 7inxS = -2cos + cosx + 2cos + -1cosx

Reorder the terms:
2cos + -1cosx + -4inS + 7inxS = -2cos + 2cos + cosx + -1cosx

Combine like terms: -2cos + 2cos = 0
2cos + -1cosx + -4inS + 7inxS = 0 + cosx + -1cosx
2cos + -1cosx + -4inS + 7inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
2cos + -1cosx + -4inS + 7inxS = 0

The solution to this equation could not be determined.

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