Sin(4x+11)=cos(3x-12)

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Solution for Sin(4x+11)=cos(3x-12) equation:


Simplifying
Sin(4x + 11) = cos(3x + -12)

Reorder the terms:
inS(11 + 4x) = cos(3x + -12)
(11 * inS + 4x * inS) = cos(3x + -12)
(11inS + 4inxS) = cos(3x + -12)

Reorder the terms:
11inS + 4inxS = cos(-12 + 3x)
11inS + 4inxS = (-12 * cos + 3x * cos)
11inS + 4inxS = (-12cos + 3cosx)

Solving
11inS + 4inxS = -12cos + 3cosx

Solving for variable 'i'.

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

Reorder the terms:
12cos + -3cosx + 11inS + 4inxS = -12cos + 3cosx + 12cos + -3cosx

Reorder the terms:
12cos + -3cosx + 11inS + 4inxS = -12cos + 12cos + 3cosx + -3cosx

Combine like terms: -12cos + 12cos = 0
12cos + -3cosx + 11inS + 4inxS = 0 + 3cosx + -3cosx
12cos + -3cosx + 11inS + 4inxS = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
12cos + -3cosx + 11inS + 4inxS = 0

The solution to this equation could not be determined.

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