Sin(5x+14)=cos(2x-12)

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Solution for Sin(5x+14)=cos(2x-12) equation:


Simplifying
Sin(5x + 14) = cos(2x + -12)

Reorder the terms:
inS(14 + 5x) = cos(2x + -12)
(14 * inS + 5x * inS) = cos(2x + -12)
(14inS + 5inxS) = cos(2x + -12)

Reorder the terms:
14inS + 5inxS = cos(-12 + 2x)
14inS + 5inxS = (-12 * cos + 2x * cos)
14inS + 5inxS = (-12cos + 2cosx)

Solving
14inS + 5inxS = -12cos + 2cosx

Solving for variable 'i'.

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

Reorder the terms:
12cos + -2cosx + 14inS + 5inxS = -12cos + 2cosx + 12cos + -2cosx

Reorder the terms:
12cos + -2cosx + 14inS + 5inxS = -12cos + 12cos + 2cosx + -2cosx

Combine like terms: -12cos + 12cos = 0
12cos + -2cosx + 14inS + 5inxS = 0 + 2cosx + -2cosx
12cos + -2cosx + 14inS + 5inxS = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
12cos + -2cosx + 14inS + 5inxS = 0

The solution to this equation could not be determined.

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