Sin(x+5)=cos(4x+10)

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Solution for Sin(x+5)=cos(4x+10) equation:


Simplifying
Sin(x + 5) = cos(4x + 10)

Reorder the terms:
inS(5 + x) = cos(4x + 10)
(5 * inS + x * inS) = cos(4x + 10)
(5inS + inxS) = cos(4x + 10)

Reorder the terms:
5inS + inxS = cos(10 + 4x)
5inS + inxS = (10 * cos + 4x * cos)
5inS + inxS = (10cos + 4cosx)

Solving
5inS + inxS = 10cos + 4cosx

Solving for variable 'i'.

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

Reorder the terms:
-10cos + -4cosx + 5inS + inxS = 10cos + 4cosx + -10cos + -4cosx

Reorder the terms:
-10cos + -4cosx + 5inS + inxS = 10cos + -10cos + 4cosx + -4cosx

Combine like terms: 10cos + -10cos = 0
-10cos + -4cosx + 5inS + inxS = 0 + 4cosx + -4cosx
-10cos + -4cosx + 5inS + inxS = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
-10cos + -4cosx + 5inS + inxS = 0

The solution to this equation could not be determined.

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