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Simplifying cos(4X) + 1 = 3sin(2X) Remove parenthesis around (4X) cos * 4X + 1 = 3sin(2X) Reorder the terms for easier multiplication: 4cos * X + 1 = 3sin(2X) Multiply cos * X 4cosX + 1 = 3sin(2X) Reorder the terms: 1 + 4cosX = 3sin(2X) Remove parenthesis around (2X) 1 + 4cosX = 3ins * 2X Reorder the terms for easier multiplication: 1 + 4cosX = 3 * 2ins * X Multiply 3 * 2 1 + 4cosX = 6ins * X Multiply ins * X 1 + 4cosX = 6insX Solving 1 + 4cosX = 6insX Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4cosX = -1 + 6insX Combine like terms: 1 + -1 = 0 0 + 4cosX = -1 + 6insX 4cosX = -1 + 6insX Divide each side by '4osX'. c = -0.25o-1s-1X-1 + 1.5ino-1 Simplifying c = -0.25o-1s-1X-1 + 1.5ino-1 Reorder the terms: c = 1.5ino-1 + -0.25o-1s-1X-1
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