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Simplifying 5 = 7cos(2x) + 5sin(2x) Remove parenthesis around (2x) 5 = 7cos * 2x + 5sin(2x) Reorder the terms for easier multiplication: 5 = 7 * 2cos * x + 5sin(2x) Multiply 7 * 2 5 = 14cos * x + 5sin(2x) Multiply cos * x 5 = 14cosx + 5sin(2x) Remove parenthesis around (2x) 5 = 14cosx + 5ins * 2x Reorder the terms for easier multiplication: 5 = 14cosx + 5 * 2ins * x Multiply 5 * 2 5 = 14cosx + 10ins * x Multiply ins * x 5 = 14cosx + 10insx Solving 5 = 14cosx + 10insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14cosx' to each side of the equation. 5 + -14cosx = 14cosx + -14cosx + 10insx Combine like terms: 14cosx + -14cosx = 0 5 + -14cosx = 0 + 10insx 5 + -14cosx = 10insx Add '-5' to each side of the equation. 5 + -5 + -14cosx = -5 + 10insx Combine like terms: 5 + -5 = 0 0 + -14cosx = -5 + 10insx -14cosx = -5 + 10insx Divide each side by '-14osx'. c = 0.3571428571o-1s-1x-1 + -0.7142857143ino-1 Simplifying c = 0.3571428571o-1s-1x-1 + -0.7142857143ino-1 Reorder the terms: c = -0.7142857143ino-1 + 0.3571428571o-1s-1x-1
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