Cos(5x)-1=sin(5x)

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Solution for Cos(5x)-1=sin(5x) equation:


Simplifying
Cos(5x) + -1 = sin(5x)

Remove parenthesis around (5x)
osC * 5x + -1 = sin(5x)

Reorder the terms for easier multiplication:
5osC * x + -1 = sin(5x)

Multiply osC * x
5osxC + -1 = sin(5x)

Reorder the terms:
-1 + 5osxC = sin(5x)

Remove parenthesis around (5x)
-1 + 5osxC = ins * 5x

Reorder the terms for easier multiplication:
-1 + 5osxC = 5ins * x

Multiply ins * x
-1 + 5osxC = 5insx

Solving
-1 + 5osxC = 5insx

Solving for variable 'o'.

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

Add '1' to each side of the equation.
-1 + 1 + 5osxC = 1 + 5insx

Combine like terms: -1 + 1 = 0
0 + 5osxC = 1 + 5insx
5osxC = 1 + 5insx

Divide each side by '5sxC'.
o = 0.2s-1x-1C-1 + inC-1

Simplifying
o = 0.2s-1x-1C-1 + inC-1

Reorder the terms:
o = inC-1 + 0.2s-1x-1C-1

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