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Simplifying sin(x) + cos(2x) + sin(5x) = 0 Multiply ins * x insx + cos(2x) + sin(5x) = 0 Remove parenthesis around (2x) insx + cos * 2x + sin(5x) = 0 Reorder the terms for easier multiplication: insx + 2cos * x + sin(5x) = 0 Multiply cos * x insx + 2cosx + sin(5x) = 0 Remove parenthesis around (5x) insx + 2cosx + ins * 5x = 0 Reorder the terms for easier multiplication: insx + 2cosx + 5ins * x = 0 Multiply ins * x insx + 2cosx + 5insx = 0 Reorder the terms: 2cosx + insx + 5insx = 0 Combine like terms: insx + 5insx = 6insx 2cosx + 6insx = 0 Solving 2cosx + 6insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6insx' to each side of the equation. 2cosx + 6insx + -6insx = 0 + -6insx Combine like terms: 6insx + -6insx = 0 2cosx + 0 = 0 + -6insx 2cosx = 0 + -6insx Remove the zero: 2cosx = -6insx Divide each side by '2osx'. c = -3ino-1 Simplifying c = -3ino-1
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