Sin(2x+5)=cos(5x+20)

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Solution for Sin(2x+5)=cos(5x+20) equation:


Simplifying
Sin(2x + 5) = cos(5x + 20)

Reorder the terms:
inS(5 + 2x) = cos(5x + 20)
(5 * inS + 2x * inS) = cos(5x + 20)
(5inS + 2inxS) = cos(5x + 20)

Reorder the terms:
5inS + 2inxS = cos(20 + 5x)
5inS + 2inxS = (20 * cos + 5x * cos)
5inS + 2inxS = (20cos + 5cosx)

Solving
5inS + 2inxS = 20cos + 5cosx

Solving for variable 'i'.

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

Reorder the terms:
-20cos + -5cosx + 5inS + 2inxS = 20cos + 5cosx + -20cos + -5cosx

Reorder the terms:
-20cos + -5cosx + 5inS + 2inxS = 20cos + -20cos + 5cosx + -5cosx

Combine like terms: 20cos + -20cos = 0
-20cos + -5cosx + 5inS + 2inxS = 0 + 5cosx + -5cosx
-20cos + -5cosx + 5inS + 2inxS = 5cosx + -5cosx

Combine like terms: 5cosx + -5cosx = 0
-20cos + -5cosx + 5inS + 2inxS = 0

The solution to this equation could not be determined.

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