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Simplifying cos(4x) + 2sin(2x) = 0 Remove parenthesis around (4x) cos * 4x + 2sin(2x) = 0 Reorder the terms for easier multiplication: 4cos * x + 2sin(2x) = 0 Multiply cos * x 4cosx + 2sin(2x) = 0 Remove parenthesis around (2x) 4cosx + 2ins * 2x = 0 Reorder the terms for easier multiplication: 4cosx + 2 * 2ins * x = 0 Multiply 2 * 2 4cosx + 4ins * x = 0 Multiply ins * x 4cosx + 4insx = 0 Solving 4cosx + 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. 4cosx + 4insx + -4insx = 0 + -4insx Combine like terms: 4insx + -4insx = 0 4cosx + 0 = 0 + -4insx 4cosx = 0 + -4insx Remove the zero: 4cosx = -4insx Divide each side by '4osx'. c = -1ino-1 Simplifying c = -1ino-1
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