Sin(x-22)=cos(x-7)

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Solution for Sin(x-22)=cos(x-7) equation:


Simplifying
Sin(x + -22) = cos(x + -7)

Reorder the terms:
inS(-22 + x) = cos(x + -7)
(-22 * inS + x * inS) = cos(x + -7)
(-22inS + inxS) = cos(x + -7)

Reorder the terms:
-22inS + inxS = cos(-7 + x)
-22inS + inxS = (-7 * cos + x * cos)
-22inS + inxS = (-7cos + cosx)

Solving
-22inS + inxS = -7cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
7cos + -1cosx + -22inS + inxS = -7cos + cosx + 7cos + -1cosx

Reorder the terms:
7cos + -1cosx + -22inS + inxS = -7cos + 7cos + cosx + -1cosx

Combine like terms: -7cos + 7cos = 0
7cos + -1cosx + -22inS + inxS = 0 + cosx + -1cosx
7cos + -1cosx + -22inS + inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
7cos + -1cosx + -22inS + inxS = 0

The solution to this equation could not be determined.

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