1-cos(6x)=3sin(2x)

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Solution for 1-cos(6x)=3sin(2x) equation:


Simplifying
1 + -1cos(6x) = 3sin(2x)

Remove parenthesis around (6x)
1 + -1cos * 6x = 3sin(2x)

Reorder the terms for easier multiplication:
1 + -1 * 6cos * x = 3sin(2x)

Multiply -1 * 6
1 + -6cos * x = 3sin(2x)

Multiply cos * x
1 + -6cosx = 3sin(2x)

Remove parenthesis around (2x)
1 + -6cosx = 3ins * 2x

Reorder the terms for easier multiplication:
1 + -6cosx = 3 * 2ins * x

Multiply 3 * 2
1 + -6cosx = 6ins * x

Multiply ins * x
1 + -6cosx = 6insx

Solving
1 + -6cosx = 6insx

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -1 + -6cosx = -1 + 6insx

Combine like terms: 1 + -1 = 0
0 + -6cosx = -1 + 6insx
-6cosx = -1 + 6insx

Divide each side by '-6osx'.
c = 0.1666666667o-1s-1x-1 + -1ino-1

Simplifying
c = 0.1666666667o-1s-1x-1 + -1ino-1

Reorder the terms:
c = -1ino-1 + 0.1666666667o-1s-1x-1

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