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