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Simplifying 5cos(x) + 2sin(2x) = 0 Multiply cos * x 5cosx + 2sin(2x) = 0 Remove parenthesis around (2x) 5cosx + 2ins * 2x = 0 Reorder the terms for easier multiplication: 5cosx + 2 * 2ins * x = 0 Multiply 2 * 2 5cosx + 4ins * x = 0 Multiply ins * x 5cosx + 4insx = 0 Solving 5cosx + 4insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4insx' to each side of the equation. 5cosx + 4insx + -4insx = 0 + -4insx Combine like terms: 4insx + -4insx = 0 5cosx + 0 = 0 + -4insx 5cosx = 0 + -4insx Remove the zero: 5cosx = -4insx Divide each side by '5osx'. c = -0.8ino-1 Simplifying c = -0.8ino-1
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