7cos(3x)-6sin(3x)=4

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Solution for 7cos(3x)-6sin(3x)=4 equation:


Simplifying
7cos(3x) + -6sin(3x) = 4

Remove parenthesis around (3x)
7cos * 3x + -6sin(3x) = 4

Reorder the terms for easier multiplication:
7 * 3cos * x + -6sin(3x) = 4

Multiply 7 * 3
21cos * x + -6sin(3x) = 4

Multiply cos * x
21cosx + -6sin(3x) = 4

Remove parenthesis around (3x)
21cosx + -6ins * 3x = 4

Reorder the terms for easier multiplication:
21cosx + -6 * 3ins * x = 4

Multiply -6 * 3
21cosx + -18ins * x = 4

Multiply ins * x
21cosx + -18insx = 4

Solving
21cosx + -18insx = 4

Solving for variable 'c'.

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

Add '18insx' to each side of the equation.
21cosx + -18insx + 18insx = 4 + 18insx

Combine like terms: -18insx + 18insx = 0
21cosx + 0 = 4 + 18insx
21cosx = 4 + 18insx

Divide each side by '21osx'.
c = 0.1904761905o-1s-1x-1 + 0.8571428571ino-1

Simplifying
c = 0.1904761905o-1s-1x-1 + 0.8571428571ino-1

Reorder the terms:
c = 0.8571428571ino-1 + 0.1904761905o-1s-1x-1

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