Sin(3x+10)=cos(2x+30)

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Solution for Sin(3x+10)=cos(2x+30) equation:


Simplifying
Sin(3x + 10) = cos(2x + 30)

Reorder the terms:
inS(10 + 3x) = cos(2x + 30)
(10 * inS + 3x * inS) = cos(2x + 30)
(10inS + 3inxS) = cos(2x + 30)

Reorder the terms:
10inS + 3inxS = cos(30 + 2x)
10inS + 3inxS = (30 * cos + 2x * cos)
10inS + 3inxS = (30cos + 2cosx)

Solving
10inS + 3inxS = 30cos + 2cosx

Solving for variable 'i'.

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

Reorder the terms:
-30cos + -2cosx + 10inS + 3inxS = 30cos + 2cosx + -30cos + -2cosx

Reorder the terms:
-30cos + -2cosx + 10inS + 3inxS = 30cos + -30cos + 2cosx + -2cosx

Combine like terms: 30cos + -30cos = 0
-30cos + -2cosx + 10inS + 3inxS = 0 + 2cosx + -2cosx
-30cos + -2cosx + 10inS + 3inxS = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-30cos + -2cosx + 10inS + 3inxS = 0

The solution to this equation could not be determined.

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