Sin(x-10)=cos(x-40)

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Solution for Sin(x-10)=cos(x-40) equation:


Simplifying
Sin(x + -10) = cos(x + -40)

Reorder the terms:
inS(-10 + x) = cos(x + -40)
(-10 * inS + x * inS) = cos(x + -40)
(-10inS + inxS) = cos(x + -40)

Reorder the terms:
-10inS + inxS = cos(-40 + x)
-10inS + inxS = (-40 * cos + x * cos)
-10inS + inxS = (-40cos + cosx)

Solving
-10inS + inxS = -40cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
40cos + -1cosx + -10inS + inxS = -40cos + cosx + 40cos + -1cosx

Reorder the terms:
40cos + -1cosx + -10inS + inxS = -40cos + 40cos + cosx + -1cosx

Combine like terms: -40cos + 40cos = 0
40cos + -1cosx + -10inS + inxS = 0 + cosx + -1cosx
40cos + -1cosx + -10inS + inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
40cos + -1cosx + -10inS + inxS = 0

The solution to this equation could not be determined.

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