Sin(2b+10)=cos(3b-10)

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Solution for Sin(2b+10)=cos(3b-10) equation:


Simplifying
Sin(2b + 10) = cos(3b + -10)

Reorder the terms:
inS(10 + 2b) = cos(3b + -10)
(10 * inS + 2b * inS) = cos(3b + -10)

Reorder the terms:
(2binS + 10inS) = cos(3b + -10)
(2binS + 10inS) = cos(3b + -10)

Reorder the terms:
2binS + 10inS = cos(-10 + 3b)
2binS + 10inS = (-10 * cos + 3b * cos)

Reorder the terms:
2binS + 10inS = (3bcos + -10cos)
2binS + 10inS = (3bcos + -10cos)

Solving
2binS + 10inS = 3bcos + -10cos

Solving for variable 'b'.

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

Add '-3bcos' to each side of the equation.
2binS + -3bcos + 10inS = 3bcos + -3bcos + -10cos

Reorder the terms:
-3bcos + 2binS + 10inS = 3bcos + -3bcos + -10cos

Combine like terms: 3bcos + -3bcos = 0
-3bcos + 2binS + 10inS = 0 + -10cos
-3bcos + 2binS + 10inS = -10cos

Add '-10inS' to each side of the equation.
-3bcos + 2binS + 10inS + -10inS = -10cos + -10inS

Combine like terms: 10inS + -10inS = 0
-3bcos + 2binS + 0 = -10cos + -10inS
-3bcos + 2binS = -10cos + -10inS

Reorder the terms:
-3bcos + 2binS + 10cos + 10inS = -10cos + 10cos + -10inS + 10inS

Combine like terms: -10cos + 10cos = 0
-3bcos + 2binS + 10cos + 10inS = 0 + -10inS + 10inS
-3bcos + 2binS + 10cos + 10inS = -10inS + 10inS

Combine like terms: -10inS + 10inS = 0
-3bcos + 2binS + 10cos + 10inS = 0

The solution to this equation could not be determined.

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