Sin(2x-15)=cos(x-12)

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Solution for Sin(2x-15)=cos(x-12) equation: 


Simplifying
Sin(2x + -15) = cos(x + -12)

Reorder the terms:
inS(-15 + 2x) = cos(x + -12)
(-15 * inS + 2x * inS) = cos(x + -12)
(-15inS + 2inxS) = cos(x + -12)

Reorder the terms:
-15inS + 2inxS = cos(-12 + x)
-15inS + 2inxS = (-12 * cos + x * cos)
-15inS + 2inxS = (-12cos + cosx)

Solving
-15inS + 2inxS = -12cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
12cos + -1cosx + -15inS + 2inxS = -12cos + cosx + 12cos + -1cosx

Reorder the terms:
12cos + -1cosx + -15inS + 2inxS = -12cos + 12cos + cosx + -1cosx

Combine like terms: -12cos + 12cos = 0
12cos + -1cosx + -15inS + 2inxS = 0 + cosx + -1cosx
12cos + -1cosx + -15inS + 2inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
12cos + -1cosx + -15inS + 2inxS = 0

The solution to this equation could not be determined.

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