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Simplifying f(0) = 3sin(2x) + 4cos(3x) Reorder the terms for easier multiplication: 0f = 3sin(2x) + 4cos(3x) Anything times zero is zero. 0f = 3sin(2x) + 4cos(3x) Remove parenthesis around (2x) 0 = 3ins * 2x + 4cos(3x) Reorder the terms for easier multiplication: 0 = 3 * 2ins * x + 4cos(3x) Multiply 3 * 2 0 = 6ins * x + 4cos(3x) Multiply ins * x 0 = 6insx + 4cos(3x) Remove parenthesis around (3x) 0 = 6insx + 4cos * 3x Reorder the terms for easier multiplication: 0 = 6insx + 4 * 3cos * x Multiply 4 * 3 0 = 6insx + 12cos * x Multiply cos * x 0 = 6insx + 12cosx Reorder the terms: 0 = 12cosx + 6insx Solving 0 = 12cosx + 6insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12cosx' to each side of the equation. 0 + -12cosx = 12cosx + -12cosx + 6insx Remove the zero: -12cosx = 12cosx + -12cosx + 6insx Combine like terms: 12cosx + -12cosx = 0 -12cosx = 0 + 6insx -12cosx = 6insx Divide each side by '-12osx'. c = -0.5ino-1 Simplifying c = -0.5ino-1
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