(cos(2x))-(sin(3x))+4cos(x)=1

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Solution for (cos(2x))-(sin(3x))+4cos(x)=1 equation:


Simplifying
(cos(2x)) + -1(sin(3x)) + 4cos(x) = 1

Remove parenthesis around (2x)
(cos * 2x) + -1(sin(3x)) + 4cos(x) = 1

Reorder the terms for easier multiplication:
(2cos * x) + -1(sin(3x)) + 4cos(x) = 1

Multiply cos * x
(2cosx) + -1(sin(3x)) + 4cos(x) = 1

Remove parenthesis around (3x)
(2cosx) + -1(ins * 3x) + 4cos(x) = 1

Reorder the terms for easier multiplication:
(2cosx) + -1(3ins * x) + 4cos(x) = 1

Multiply ins * x
(2cosx) + -1(3insx) + 4cos(x) = 1

Remove parenthesis around (3insx)
(2cosx) + -1 * 3insx + 4cos(x) = 1

Multiply -1 * 3
(2cosx) + -3insx + 4cos(x) = 1

Multiply cos * x
(2cosx) + -3insx + 4cosx = 1

Reorder the terms:
(2cosx) + 4cosx + -3insx = 1

Combine like terms: (2cosx) + 4cosx = 6cosx
6cosx + -3insx = 1

Solving
6cosx + -3insx = 1

Solving for variable 'c'.

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

Add '3insx' to each side of the equation.
6cosx + -3insx + 3insx = 1 + 3insx

Combine like terms: -3insx + 3insx = 0
6cosx + 0 = 1 + 3insx
6cosx = 1 + 3insx

Divide each side by '6osx'.
c = 0.1666666667o-1s-1x-1 + 0.5ino-1

Simplifying
c = 0.1666666667o-1s-1x-1 + 0.5ino-1

Reorder the terms:
c = 0.5ino-1 + 0.1666666667o-1s-1x-1

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