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Simplifying cos(3x) + cos(7x) + sin(10x) = 0 Remove parenthesis around (3x) cos * 3x + cos(7x) + sin(10x) = 0 Reorder the terms for easier multiplication: 3cos * x + cos(7x) + sin(10x) = 0 Multiply cos * x 3cosx + cos(7x) + sin(10x) = 0 Remove parenthesis around (7x) 3cosx + cos * 7x + sin(10x) = 0 Reorder the terms for easier multiplication: 3cosx + 7cos * x + sin(10x) = 0 Multiply cos * x 3cosx + 7cosx + sin(10x) = 0 Remove parenthesis around (10x) 3cosx + 7cosx + ins * 10x = 0 Reorder the terms for easier multiplication: 3cosx + 7cosx + 10ins * x = 0 Multiply ins * x 3cosx + 7cosx + 10insx = 0 Combine like terms: 3cosx + 7cosx = 10cosx 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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