Sin(45-x)=cos(45+x)

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


Simplifying
Sin(45 + -1x) = cos(45 + x)
(45 * inS + -1x * inS) = cos(45 + x)
(45inS + -1inxS) = cos(45 + x)
45inS + -1inxS = (45 * cos + x * cos)
45inS + -1inxS = (45cos + cosx)

Solving
45inS + -1inxS = 45cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
-45cos + -1cosx + 45inS + -1inxS = 45cos + cosx + -45cos + -1cosx

Reorder the terms:
-45cos + -1cosx + 45inS + -1inxS = 45cos + -45cos + cosx + -1cosx

Combine like terms: 45cos + -45cos = 0
-45cos + -1cosx + 45inS + -1inxS = 0 + cosx + -1cosx
-45cos + -1cosx + 45inS + -1inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-45cos + -1cosx + 45inS + -1inxS = 0

The solution to this equation could not be determined.

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