Sin(8x-18)=cos(5x+4)

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Solution for Sin(8x-18)=cos(5x+4) equation:


Simplifying
Sin(8x + -18) = cos(5x + 4)

Reorder the terms:
inS(-18 + 8x) = cos(5x + 4)
(-18 * inS + 8x * inS) = cos(5x + 4)
(-18inS + 8inxS) = cos(5x + 4)

Reorder the terms:
-18inS + 8inxS = cos(4 + 5x)
-18inS + 8inxS = (4 * cos + 5x * cos)
-18inS + 8inxS = (4cos + 5cosx)

Solving
-18inS + 8inxS = 4cos + 5cosx

Solving for variable 'i'.

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

Reorder the terms:
-4cos + -5cosx + -18inS + 8inxS = 4cos + 5cosx + -4cos + -5cosx

Reorder the terms:
-4cos + -5cosx + -18inS + 8inxS = 4cos + -4cos + 5cosx + -5cosx

Combine like terms: 4cos + -4cos = 0
-4cos + -5cosx + -18inS + 8inxS = 0 + 5cosx + -5cosx
-4cos + -5cosx + -18inS + 8inxS = 5cosx + -5cosx

Combine like terms: 5cosx + -5cosx = 0
-4cos + -5cosx + -18inS + 8inxS = 0

The solution to this equation could not be determined.

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