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Simplifying 1 + 2cosx = -1cos(2x) Remove parenthesis around (2x) 1 + 2cosx = -1cos * 2x Reorder the terms for easier multiplication: 1 + 2cosx = -1 * 2cos * x Multiply -1 * 2 1 + 2cosx = -2cos * x Multiply cos * x 1 + 2cosx = -2cosx Solving 1 + 2cosx = -2cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2cosx' to each side of the equation. 1 + 2cosx + 2cosx = -2cosx + 2cosx Combine like terms: 2cosx + 2cosx = 4cosx 1 + 4cosx = -2cosx + 2cosx Combine like terms: -2cosx + 2cosx = 0 1 + 4cosx = 0 Add '-1' to each side of the equation. 1 + -1 + 4cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cosx = 0 + -1 4cosx = 0 + -1 Combine like terms: 0 + -1 = -1 4cosx = -1 Divide each side by '4osx'. c = -0.25o-1s-1x-1 Simplifying c = -0.25o-1s-1x-1
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