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Simplifying 7.5sin(5x) + 2.5cos(5x) = 0 Remove parenthesis around (5x) 7.5ins * 5x + 2.5cos(5x) = 0 Reorder the terms for easier multiplication: 7.5 * 5ins * x + 2.5cos(5x) = 0 Multiply 7.5 * 5 37.5ins * x + 2.5cos(5x) = 0 Multiply ins * x 37.5insx + 2.5cos(5x) = 0 Remove parenthesis around (5x) 37.5insx + 2.5cos * 5x = 0 Reorder the terms for easier multiplication: 37.5insx + 2.5 * 5cos * x = 0 Multiply 2.5 * 5 37.5insx + 12.5cos * x = 0 Multiply cos * x 37.5insx + 12.5cosx = 0 Reorder the terms: 12.5cosx + 37.5insx = 0 Solving 12.5cosx + 37.5insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-37.5insx' to each side of the equation. 12.5cosx + 37.5insx + -37.5insx = 0 + -37.5insx Combine like terms: 37.5insx + -37.5insx = 0.0 12.5cosx + 0.0 = 0 + -37.5insx 12.5cosx = 0 + -37.5insx Remove the zero: 12.5cosx = -37.5insx Divide each side by '12.5osx'. c = -3ino-1 Simplifying c = -3ino-1
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