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