Cos(2x)=Sin(5x-30)

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Solution for Cos(2x)=Sin(5x-30) equation:


Simplifying
Cos(2x) = Sin(5x + -30)

Remove parenthesis around (2x)
osC * 2x = Sin(5x + -30)

Reorder the terms for easier multiplication:
2osC * x = Sin(5x + -30)

Multiply osC * x
2osxC = Sin(5x + -30)

Reorder the terms:
2osxC = inS(-30 + 5x)
2osxC = (-30 * inS + 5x * inS)
2osxC = (-30inS + 5inxS)

Solving
2osxC = -30inS + 5inxS

Solving for variable 'o'.

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

Divide each side by '2sxC'.
o = -15ins-1x-1C-1S + 2.5ins-1C-1S

Simplifying
o = -15ins-1x-1C-1S + 2.5ins-1C-1S

Reorder the terms:
o = 2.5ins-1C-1S + -15ins-1x-1C-1S

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