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Simplifying 1 + 4cosx + 3sinx = 0 Solving 1 + 4cosx + 3insx = 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 + 4cosx + -1 + 3insx = 0 + -1 Reorder the terms: 1 + -1 + 4cosx + 3insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cosx + 3insx = 0 + -1 4cosx + 3insx = 0 + -1 Combine like terms: 0 + -1 = -1 4cosx + 3insx = -1 Add '-3insx' to each side of the equation. 4cosx + 3insx + -3insx = -1 + -3insx Combine like terms: 3insx + -3insx = 0 4cosx + 0 = -1 + -3insx 4cosx = -1 + -3insx Divide each side by '4osx'. c = -0.25o-1s-1x-1 + -0.75ino-1 Simplifying c = -0.25o-1s-1x-1 + -0.75ino-1 Reorder the terms: c = -0.75ino-1 + -0.25o-1s-1x-1
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