Sin(5x-12)=Cos(x+54)

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Solution for Sin(5x-12)=Cos(x+54) equation: 


Simplifying
Sin(5x + -12) = Cos(x + 54)

Reorder the terms:
inS(-12 + 5x) = Cos(x + 54)
(-12 * inS + 5x * inS) = Cos(x + 54)
(-12inS + 5inxS) = Cos(x + 54)

Reorder the terms:
-12inS + 5inxS = osC(54 + x)
-12inS + 5inxS = (54 * osC + x * osC)
-12inS + 5inxS = (54osC + osxC)

Solving
-12inS + 5inxS = 54osC + osxC

Solving for variable 'i'.

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

Reorder the terms:
-12inS + 5inxS + -54osC + -1osxC = 54osC + -54osC + osxC + -1osxC

Combine like terms: 54osC + -54osC = 0
-12inS + 5inxS + -54osC + -1osxC = 0 + osxC + -1osxC
-12inS + 5inxS + -54osC + -1osxC = osxC + -1osxC

Combine like terms: osxC + -1osxC = 0
-12inS + 5inxS + -54osC + -1osxC = 0

The solution to this equation could not be determined.

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