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Simplifying 5sin(x) + -4cos(x) = 5 Multiply ins * x 5insx + -4cos(x) = 5 Multiply cos * x 5insx + -4cosx = 5 Reorder the terms: -4cosx + 5insx = 5 Solving -4cosx + 5insx = 5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5insx' to each side of the equation. -4cosx + 5insx + -5insx = 5 + -5insx Combine like terms: 5insx + -5insx = 0 -4cosx + 0 = 5 + -5insx -4cosx = 5 + -5insx Divide each side by '-4osx'. c = -1.25o-1s-1x-1 + 1.25ino-1 Simplifying c = -1.25o-1s-1x-1 + 1.25ino-1 Reorder the terms: c = 1.25ino-1 + -1.25o-1s-1x-1
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