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Simplifying 4cos2(x) + -5sin(x) + 1 = 0 Multiply cos2 * x 4cos2x + -5sin(x) + 1 = 0 Multiply ins * x 4cos2x + -5insx + 1 = 0 Reorder the terms: 1 + 4cos2x + -5insx = 0 Solving 1 + 4cos2x + -5insx = 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 + 4cos2x + -1 + -5insx = 0 + -1 Reorder the terms: 1 + -1 + 4cos2x + -5insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cos2x + -5insx = 0 + -1 4cos2x + -5insx = 0 + -1 Combine like terms: 0 + -1 = -1 4cos2x + -5insx = -1 Add '5insx' to each side of the equation. 4cos2x + -5insx + 5insx = -1 + 5insx Combine like terms: -5insx + 5insx = 0 4cos2x + 0 = -1 + 5insx 4cos2x = -1 + 5insx Divide each side by '4os2x'. c = -0.25o-1s-2x-1 + 1.25ino-1s-1 Simplifying c = -0.25o-1s-2x-1 + 1.25ino-1s-1 Reorder the terms: c = 1.25ino-1s-1 + -0.25o-1s-2x-1
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