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Simplifying (sinx + -1)(2cosx + -1) + -3cosx = 0 Reorder the terms: (-1 + insx)(2cosx + -1) + -3cosx = 0 Reorder the terms: (-1 + insx)(-1 + 2cosx) + -3cosx = 0 Multiply (-1 + insx) * (-1 + 2cosx) (-1(-1 + 2cosx) + insx(-1 + 2cosx)) + -3cosx = 0 ((-1 * -1 + 2cosx * -1) + insx(-1 + 2cosx)) + -3cosx = 0 ((1 + -2cosx) + insx(-1 + 2cosx)) + -3cosx = 0 (1 + -2cosx + (-1 * insx + 2cosx * insx)) + -3cosx = 0 Reorder the terms: (1 + -2cosx + (2cinos2x2 + -1insx)) + -3cosx = 0 (1 + -2cosx + (2cinos2x2 + -1insx)) + -3cosx = 0 Reorder the terms: (1 + 2cinos2x2 + -2cosx + -1insx) + -3cosx = 0 (1 + 2cinos2x2 + -2cosx + -1insx) + -3cosx = 0 Reorder the terms: 1 + 2cinos2x2 + -2cosx + -3cosx + -1insx = 0 Combine like terms: -2cosx + -3cosx = -5cosx 1 + 2cinos2x2 + -5cosx + -1insx = 0 Solving 1 + 2cinos2x2 + -5cosx + -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 + 2cinos2x2 + -5cosx + -1 + -1insx = 0 + -1 Reorder the terms: 1 + -1 + 2cinos2x2 + -5cosx + -1insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2cinos2x2 + -5cosx + -1insx = 0 + -1 2cinos2x2 + -5cosx + -1insx = 0 + -1 Combine like terms: 0 + -1 = -1 2cinos2x2 + -5cosx + -1insx = -1 Add 'insx' to each side of the equation. 2cinos2x2 + -5cosx + -1insx + insx = -1 + insx Combine like terms: -1insx + insx = 0 2cinos2x2 + -5cosx + 0 = -1 + insx 2cinos2x2 + -5cosx = -1 + insx Reorder the terms: 1 + 2cinos2x2 + -5cosx + -1insx = -1 + insx + 1 + -1insx Reorder the terms: 1 + 2cinos2x2 + -5cosx + -1insx = -1 + 1 + insx + -1insx Combine like terms: -1 + 1 = 0 1 + 2cinos2x2 + -5cosx + -1insx = 0 + insx + -1insx 1 + 2cinos2x2 + -5cosx + -1insx = insx + -1insx Combine like terms: insx + -1insx = 0 1 + 2cinos2x2 + -5cosx + -1insx = 0 The solution to this equation could not be determined.
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