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Simplifying 2sin(2t) + 3cos(t) = 0 Remove parenthesis around (2t) 2ins * 2t + 3cos(t) = 0 Reorder the terms for easier multiplication: 2 * 2ins * t + 3cos(t) = 0 Multiply 2 * 2 4ins * t + 3cos(t) = 0 Multiply ins * t 4inst + 3cos(t) = 0 Multiply cos * t 4inst + 3cost = 0 Reorder the terms: 3cost + 4inst = 0 Solving 3cost + 4inst = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4inst' to each side of the equation. 3cost + 4inst + -4inst = 0 + -4inst Combine like terms: 4inst + -4inst = 0 3cost + 0 = 0 + -4inst 3cost = 0 + -4inst Remove the zero: 3cost = -4inst Divide each side by '3ost'. c = -1.333333333ino-1 Simplifying c = -1.333333333ino-1
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