Sin(x-45)=2cos(x-30)

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Solution for Sin(x-45)=2cos(x-30) equation: 


Simplifying
Sin(x + -45) = 2cos(x + -30)

Reorder the terms:
inS(-45 + x) = 2cos(x + -30)
(-45 * inS + x * inS) = 2cos(x + -30)
(-45inS + inxS) = 2cos(x + -30)

Reorder the terms:
-45inS + inxS = 2cos(-30 + x)
-45inS + inxS = (-30 * 2cos + x * 2cos)
-45inS + inxS = (-60cos + 2cosx)

Solving
-45inS + inxS = -60cos + 2cosx

Solving for variable 'i'.

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

Reorder the terms:
60cos + -2cosx + -45inS + inxS = -60cos + 2cosx + 60cos + -2cosx

Reorder the terms:
60cos + -2cosx + -45inS + inxS = -60cos + 60cos + 2cosx + -2cosx

Combine like terms: -60cos + 60cos = 0
60cos + -2cosx + -45inS + inxS = 0 + 2cosx + -2cosx
60cos + -2cosx + -45inS + inxS = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
60cos + -2cosx + -45inS + inxS = 0

The solution to this equation could not be determined.

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