Sin(2x)=cos(x+15)

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Solution for Sin(2x)=cos(x+15) equation: 


Simplifying
Sin(2x) = cos(x + 15)

Remove parenthesis around (2x)
inS * 2x = cos(x + 15)

Reorder the terms for easier multiplication:
2inS * x = cos(x + 15)

Multiply inS * x
2inxS = cos(x + 15)

Reorder the terms:
2inxS = cos(15 + x)
2inxS = (15 * cos + x * cos)
2inxS = (15cos + cosx)

Solving
2inxS = 15cos + cosx

Solving for variable 'i'.

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

Divide each side by '2nxS'.
i = 7.5cn-1osx-1S-1 + 0.5cn-1osS-1

Simplifying
i = 7.5cn-1osx-1S-1 + 0.5cn-1osS-1

Reorder the terms:
i = 0.5cn-1osS-1 + 7.5cn-1osx-1S-1

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