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Simplifying 3sin(2x) + 4cos(x) = 0 Remove parenthesis around (2x) 3ins * 2x + 4cos(x) = 0 Reorder the terms for easier multiplication: 3 * 2ins * x + 4cos(x) = 0 Multiply 3 * 2 6ins * x + 4cos(x) = 0 Multiply ins * x 6insx + 4cos(x) = 0 Multiply cos * x 6insx + 4cosx = 0 Reorder the terms: 4cosx + 6insx = 0 Solving 4cosx + 6insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6insx' to each side of the equation. 4cosx + 6insx + -6insx = 0 + -6insx Combine like terms: 6insx + -6insx = 0 4cosx + 0 = 0 + -6insx 4cosx = 0 + -6insx Remove the zero: 4cosx = -6insx Divide each side by '4osx'. c = -1.5ino-1 Simplifying c = -1.5ino-1
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