Sen(x+10)=cos(x+40)

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Solution for Sen(x+10)=cos(x+40) equation:


Simplifying
Sen(x + 10) = cos(x + 40)

Reorder the terms:
enS(10 + x) = cos(x + 40)
(10 * enS + x * enS) = cos(x + 40)
(10enS + enxS) = cos(x + 40)

Reorder the terms:
10enS + enxS = cos(40 + x)
10enS + enxS = (40 * cos + x * cos)
10enS + enxS = (40cos + cosx)

Solving
10enS + enxS = 40cos + cosx

Solving for variable 'e'.

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

Reorder the terms:
-40cos + -1cosx + 10enS + enxS = 40cos + cosx + -40cos + -1cosx

Reorder the terms:
-40cos + -1cosx + 10enS + enxS = 40cos + -40cos + cosx + -1cosx

Combine like terms: 40cos + -40cos = 0
-40cos + -1cosx + 10enS + enxS = 0 + cosx + -1cosx
-40cos + -1cosx + 10enS + enxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-40cos + -1cosx + 10enS + enxS = 0

The solution to this equation could not be determined.

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