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Simplifying (5sinx + 5cosx) * 2 = 0 Reorder the terms: (5cosx + 5insx) * 2 = 0 Reorder the terms for easier multiplication: 2(5cosx + 5insx) = 0 (5cosx * 2 + 5insx * 2) = 0 (10cosx + 10insx) = 0 Solving 10cosx + 10insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10insx' to each side of the equation. 10cosx + 10insx + -10insx = 0 + -10insx Combine like terms: 10insx + -10insx = 0 10cosx + 0 = 0 + -10insx 10cosx = 0 + -10insx Remove the zero: 10cosx = -10insx Divide each side by '10osx'. c = -1ino-1 Simplifying c = -1ino-1
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