Sin(3x-12)=cos(x+34)

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Solution for Sin(3x-12)=cos(x+34) equation: 


Simplifying
Sin(3x + -12) = cos(x + 34)

Reorder the terms:
inS(-12 + 3x) = cos(x + 34)
(-12 * inS + 3x * inS) = cos(x + 34)
(-12inS + 3inxS) = cos(x + 34)

Reorder the terms:
-12inS + 3inxS = cos(34 + x)
-12inS + 3inxS = (34 * cos + x * cos)
-12inS + 3inxS = (34cos + cosx)

Solving
-12inS + 3inxS = 34cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
-34cos + -1cosx + -12inS + 3inxS = 34cos + cosx + -34cos + -1cosx

Reorder the terms:
-34cos + -1cosx + -12inS + 3inxS = 34cos + -34cos + cosx + -1cosx

Combine like terms: 34cos + -34cos = 0
-34cos + -1cosx + -12inS + 3inxS = 0 + cosx + -1cosx
-34cos + -1cosx + -12inS + 3inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-34cos + -1cosx + -12inS + 3inxS = 0

The solution to this equation could not be determined.

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