Sin(x+10)=cos(3x-20)

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Solution for Sin(x+10)=cos(3x-20) equation: 


Simplifying
Sin(x + 10) = cos(3x + -20)

Reorder the terms:
inS(10 + x) = cos(3x + -20)
(10 * inS + x * inS) = cos(3x + -20)
(10inS + inxS) = cos(3x + -20)

Reorder the terms:
10inS + inxS = cos(-20 + 3x)
10inS + inxS = (-20 * cos + 3x * cos)
10inS + inxS = (-20cos + 3cosx)

Solving
10inS + inxS = -20cos + 3cosx

Solving for variable 'i'.

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

Reorder the terms:
20cos + -3cosx + 10inS + inxS = -20cos + 3cosx + 20cos + -3cosx

Reorder the terms:
20cos + -3cosx + 10inS + inxS = -20cos + 20cos + 3cosx + -3cosx

Combine like terms: -20cos + 20cos = 0
20cos + -3cosx + 10inS + inxS = 0 + 3cosx + -3cosx
20cos + -3cosx + 10inS + inxS = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
20cos + -3cosx + 10inS + inxS = 0

The solution to this equation could not be determined.

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