Sin(2x+20)=cos(3x-30)

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Solution for Sin(2x+20)=cos(3x-30) equation: 


Simplifying
Sin(2x + 20) = cos(3x + -30)

Reorder the terms:
inS(20 + 2x) = cos(3x + -30)
(20 * inS + 2x * inS) = cos(3x + -30)
(20inS + 2inxS) = cos(3x + -30)

Reorder the terms:
20inS + 2inxS = cos(-30 + 3x)
20inS + 2inxS = (-30 * cos + 3x * cos)
20inS + 2inxS = (-30cos + 3cosx)

Solving
20inS + 2inxS = -30cos + 3cosx

Solving for variable 'i'.

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

Reorder the terms:
30cos + -3cosx + 20inS + 2inxS = -30cos + 3cosx + 30cos + -3cosx

Reorder the terms:
30cos + -3cosx + 20inS + 2inxS = -30cos + 30cos + 3cosx + -3cosx

Combine like terms: -30cos + 30cos = 0
30cos + -3cosx + 20inS + 2inxS = 0 + 3cosx + -3cosx
30cos + -3cosx + 20inS + 2inxS = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
30cos + -3cosx + 20inS + 2inxS = 0

The solution to this equation could not be determined.

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