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Simplifying 0.5 = 2cos(4x) Remove parenthesis around (4x) 0.5 = 2cos * 4x Reorder the terms for easier multiplication: 0.5 = 2 * 4cos * x Multiply 2 * 4 0.5 = 8cos * x Multiply cos * x 0.5 = 8cosx Solving 0.5 = 8cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8cosx' to each side of the equation. 0.5 + -8cosx = 8cosx + -8cosx Combine like terms: 8cosx + -8cosx = 0 0.5 + -8cosx = 0 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -8cosx = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -8cosx = 0 + -0.5 -8cosx = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -8cosx = -0.5 Divide each side by '-8osx'. c = 0.0625o-1s-1x-1 Simplifying c = 0.0625o-1s-1x-1
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