cos(6x)+sin(5x)+cos(2x)-sin(3x)=0

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Solution for cos(6x)+sin(5x)+cos(2x)-sin(3x)=0 equation:


Simplifying
cos(6x) + sin(5x) + cos(2x) + -1sin(3x) = 0

Remove parenthesis around (6x)
cos * 6x + sin(5x) + cos(2x) + -1sin(3x) = 0

Reorder the terms for easier multiplication:
6cos * x + sin(5x) + cos(2x) + -1sin(3x) = 0

Multiply cos * x
6cosx + sin(5x) + cos(2x) + -1sin(3x) = 0

Remove parenthesis around (5x)
6cosx + ins * 5x + cos(2x) + -1sin(3x) = 0

Reorder the terms for easier multiplication:
6cosx + 5ins * x + cos(2x) + -1sin(3x) = 0

Multiply ins * x
6cosx + 5insx + cos(2x) + -1sin(3x) = 0

Remove parenthesis around (2x)
6cosx + 5insx + cos * 2x + -1sin(3x) = 0

Reorder the terms for easier multiplication:
6cosx + 5insx + 2cos * x + -1sin(3x) = 0

Multiply cos * x
6cosx + 5insx + 2cosx + -1sin(3x) = 0

Remove parenthesis around (3x)
6cosx + 5insx + 2cosx + -1ins * 3x = 0

Reorder the terms for easier multiplication:
6cosx + 5insx + 2cosx + -1 * 3ins * x = 0

Multiply -1 * 3
6cosx + 5insx + 2cosx + -3ins * x = 0

Multiply ins * x
6cosx + 5insx + 2cosx + -3insx = 0

Reorder the terms:
6cosx + 2cosx + 5insx + -3insx = 0

Combine like terms: 6cosx + 2cosx = 8cosx
8cosx + 5insx + -3insx = 0

Combine like terms: 5insx + -3insx = 2insx
8cosx + 2insx = 0

Solving
8cosx + 2insx = 0

Solving for variable 'c'.

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

Add '-2insx' to each side of the equation.
8cosx + 2insx + -2insx = 0 + -2insx

Combine like terms: 2insx + -2insx = 0
8cosx + 0 = 0 + -2insx
8cosx = 0 + -2insx
Remove the zero:
8cosx = -2insx

Divide each side by '8osx'.
c = -0.25ino-1

Simplifying
c = -0.25ino-1

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