6+2*sin*6x+4*sin*3x=8+2*cos*3x

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Solution for 6+2*sin*6x+4*sin*3x=8+2*cos*3x equation:


Simplifying
6 + 2sin * 6x + 4sin * 3x = 8 + 2cos * 3x

Reorder the terms for easier multiplication:
6 + 2 * 6ins * x + 4sin * 3x = 8 + 2cos * 3x

Multiply 2 * 6
6 + 12ins * x + 4sin * 3x = 8 + 2cos * 3x

Multiply ins * x
6 + 12insx + 4sin * 3x = 8 + 2cos * 3x

Reorder the terms for easier multiplication:
6 + 12insx + 4 * 3ins * x = 8 + 2cos * 3x

Multiply 4 * 3
6 + 12insx + 12ins * x = 8 + 2cos * 3x

Multiply ins * x
6 + 12insx + 12insx = 8 + 2cos * 3x

Combine like terms: 12insx + 12insx = 24insx
6 + 24insx = 8 + 2cos * 3x

Reorder the terms for easier multiplication:
6 + 24insx = 8 + 2 * 3cos * x

Multiply 2 * 3
6 + 24insx = 8 + 6cos * x

Multiply cos * x
6 + 24insx = 8 + 6cosx

Solving
6 + 24insx = 8 + 6cosx

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + 24insx = 8 + -6 + 6cosx

Combine like terms: 6 + -6 = 0
0 + 24insx = 8 + -6 + 6cosx
24insx = 8 + -6 + 6cosx

Combine like terms: 8 + -6 = 2
24insx = 2 + 6cosx

Divide each side by '24nsx'.
i = 0.08333333333n-1s-1x-1 + 0.25cn-1o

Simplifying
i = 0.08333333333n-1s-1x-1 + 0.25cn-1o

Reorder the terms:
i = 0.25cn-1o + 0.08333333333n-1s-1x-1

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