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Simplifying 9 + -9sin(8x) = 6cos2(8x) Remove parenthesis around (8x) 9 + -9ins * 8x = 6cos2(8x) Reorder the terms for easier multiplication: 9 + -9 * 8ins * x = 6cos2(8x) Multiply -9 * 8 9 + -72ins * x = 6cos2(8x) Multiply ins * x 9 + -72insx = 6cos2(8x) Remove parenthesis around (8x) 9 + -72insx = 6cos2 * 8x Reorder the terms for easier multiplication: 9 + -72insx = 6 * 8cos2 * x Multiply 6 * 8 9 + -72insx = 48cos2 * x Multiply cos2 * x 9 + -72insx = 48cos2x Solving 9 + -72insx = 48cos2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -72insx = -9 + 48cos2x Combine like terms: 9 + -9 = 0 0 + -72insx = -9 + 48cos2x -72insx = -9 + 48cos2x Divide each side by '-72nsx'. i = 0.125n-1s-1x-1 + -0.6666666667cn-1os Simplifying i = 0.125n-1s-1x-1 + -0.6666666667cn-1os Reorder the terms: i = -0.6666666667cn-1os + 0.125n-1s-1x-1
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