Sin(3x+6)=cos(2x-1)

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Solution for Sin(3x+6)=cos(2x-1) equation:


Simplifying
Sin(3x + 6) = cos(2x + -1)

Reorder the terms:
inS(6 + 3x) = cos(2x + -1)
(6 * inS + 3x * inS) = cos(2x + -1)
(6inS + 3inxS) = cos(2x + -1)

Reorder the terms:
6inS + 3inxS = cos(-1 + 2x)
6inS + 3inxS = (-1 * cos + 2x * cos)
6inS + 3inxS = (-1cos + 2cosx)

Solving
6inS + 3inxS = -1cos + 2cosx

Solving for variable 'i'.

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

Reorder the terms:
cos + -2cosx + 6inS + 3inxS = -1cos + 2cosx + cos + -2cosx

Reorder the terms:
cos + -2cosx + 6inS + 3inxS = -1cos + cos + 2cosx + -2cosx

Combine like terms: -1cos + cos = 0
cos + -2cosx + 6inS + 3inxS = 0 + 2cosx + -2cosx
cos + -2cosx + 6inS + 3inxS = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
cos + -2cosx + 6inS + 3inxS = 0

The solution to this equation could not be determined.

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