4sin(30t)+3cos(30t)=0

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Solution for 4sin(30t)+3cos(30t)=0 equation:


Simplifying
4sin(30t) + 3cos(30t) = 0

Remove parenthesis around (30t)
4ins * 30t + 3cos(30t) = 0

Reorder the terms for easier multiplication:
4 * 30ins * t + 3cos(30t) = 0

Multiply 4 * 30
120ins * t + 3cos(30t) = 0

Multiply ins * t
120inst + 3cos(30t) = 0

Remove parenthesis around (30t)
120inst + 3cos * 30t = 0

Reorder the terms for easier multiplication:
120inst + 3 * 30cos * t = 0

Multiply 3 * 30
120inst + 90cos * t = 0

Multiply cos * t
120inst + 90cost = 0

Reorder the terms:
90cost + 120inst = 0

Solving
90cost + 120inst = 0

Solving for variable 'c'.

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

Add '-120inst' to each side of the equation.
90cost + 120inst + -120inst = 0 + -120inst

Combine like terms: 120inst + -120inst = 0
90cost + 0 = 0 + -120inst
90cost = 0 + -120inst
Remove the zero:
90cost = -120inst

Divide each side by '90ost'.
c = -1.333333333ino-1

Simplifying
c = -1.333333333ino-1

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