6cos(3t)+sin(3t)=0

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Solution for 6cos(3t)+sin(3t)=0 equation:


Simplifying
6cos(3t) + sin(3t) = 0

Remove parenthesis around (3t)
6cos * 3t + sin(3t) = 0

Reorder the terms for easier multiplication:
6 * 3cos * t + sin(3t) = 0

Multiply 6 * 3
18cos * t + sin(3t) = 0

Multiply cos * t
18cost + sin(3t) = 0

Remove parenthesis around (3t)
18cost + ins * 3t = 0

Reorder the terms for easier multiplication:
18cost + 3ins * t = 0

Multiply ins * t
18cost + 3inst = 0

Solving
18cost + 3inst = 0

Solving for variable 'c'.

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

Add '-3inst' to each side of the equation.
18cost + 3inst + -3inst = 0 + -3inst

Combine like terms: 3inst + -3inst = 0
18cost + 0 = 0 + -3inst
18cost = 0 + -3inst
Remove the zero:
18cost = -3inst

Divide each side by '18ost'.
c = -0.1666666667ino-1

Simplifying
c = -0.1666666667ino-1

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