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Simplifying 3cos2x + 4sinx + 1 = 0 Reorder the terms: 1 + 3cos2x + 4insx = 0 Solving 1 + 3cos2x + 4insx = 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 + 3cos2x + -1 + 4insx = 0 + -1 Reorder the terms: 1 + -1 + 3cos2x + 4insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3cos2x + 4insx = 0 + -1 3cos2x + 4insx = 0 + -1 Combine like terms: 0 + -1 = -1 3cos2x + 4insx = -1 Add '-4insx' to each side of the equation. 3cos2x + 4insx + -4insx = -1 + -4insx Combine like terms: 4insx + -4insx = 0 3cos2x + 0 = -1 + -4insx 3cos2x = -1 + -4insx Divide each side by '3os2x'. c = -0.3333333333o-1s-2x-1 + -1.333333333ino-1s-1 Simplifying c = -0.3333333333o-1s-2x-1 + -1.333333333ino-1s-1 Reorder the terms: c = -1.333333333ino-1s-1 + -0.3333333333o-1s-2x-1
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