Cos(6x)-sin(5x)=-1

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Solution for Cos(6x)-sin(5x)=-1 equation:


Simplifying
Cos(6x) + -1sin(5x) = -1

Remove parenthesis around (6x)
osC * 6x + -1sin(5x) = -1

Reorder the terms for easier multiplication:
6osC * x + -1sin(5x) = -1

Multiply osC * x
6osxC + -1sin(5x) = -1

Remove parenthesis around (5x)
6osxC + -1ins * 5x = -1

Reorder the terms for easier multiplication:
6osxC + -1 * 5ins * x = -1

Multiply -1 * 5
6osxC + -5ins * x = -1

Multiply ins * x
6osxC + -5insx = -1

Reorder the terms:
-5insx + 6osxC = -1

Solving
-5insx + 6osxC = -1

Solving for variable 'i'.

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

Add '-6osxC' to each side of the equation.
-5insx + 6osxC + -6osxC = -1 + -6osxC

Combine like terms: 6osxC + -6osxC = 0
-5insx + 0 = -1 + -6osxC
-5insx = -1 + -6osxC

Divide each side by '-5nsx'.
i = 0.2n-1s-1x-1 + 1.2n-1oC

Simplifying
i = 0.2n-1s-1x-1 + 1.2n-1oC

Reorder the terms:
i = 1.2n-1oC + 0.2n-1s-1x-1

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