Sin(3x+8)=cos(x+10)

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Solution for Sin(3x+8)=cos(x+10) equation:


Simplifying
Sin(3x + 8) = cos(x + 10)

Reorder the terms:
inS(8 + 3x) = cos(x + 10)
(8 * inS + 3x * inS) = cos(x + 10)
(8inS + 3inxS) = cos(x + 10)

Reorder the terms:
8inS + 3inxS = cos(10 + x)
8inS + 3inxS = (10 * cos + x * cos)
8inS + 3inxS = (10cos + cosx)

Solving
8inS + 3inxS = 10cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
-10cos + -1cosx + 8inS + 3inxS = 10cos + cosx + -10cos + -1cosx

Reorder the terms:
-10cos + -1cosx + 8inS + 3inxS = 10cos + -10cos + cosx + -1cosx

Combine like terms: 10cos + -10cos = 0
-10cos + -1cosx + 8inS + 3inxS = 0 + cosx + -1cosx
-10cos + -1cosx + 8inS + 3inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-10cos + -1cosx + 8inS + 3inxS = 0

The solution to this equation could not be determined.

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