Sin(x+20)=cos(3x-110)

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Solution for Sin(x+20)=cos(3x-110) equation:


Simplifying
Sin(x + 20) = cos(3x + -110)

Reorder the terms:
inS(20 + x) = cos(3x + -110)
(20 * inS + x * inS) = cos(3x + -110)
(20inS + inxS) = cos(3x + -110)

Reorder the terms:
20inS + inxS = cos(-110 + 3x)
20inS + inxS = (-110 * cos + 3x * cos)
20inS + inxS = (-110cos + 3cosx)

Solving
20inS + inxS = -110cos + 3cosx

Solving for variable 'i'.

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

Reorder the terms:
110cos + -3cosx + 20inS + inxS = -110cos + 3cosx + 110cos + -3cosx

Reorder the terms:
110cos + -3cosx + 20inS + inxS = -110cos + 110cos + 3cosx + -3cosx

Combine like terms: -110cos + 110cos = 0
110cos + -3cosx + 20inS + inxS = 0 + 3cosx + -3cosx
110cos + -3cosx + 20inS + inxS = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
110cos + -3cosx + 20inS + inxS = 0

The solution to this equation could not be determined.

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