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Simplifying 4 + -1cos(2x) + 5sin(x) = 2sin2(x) + 5sin(x) + 3 Remove parenthesis around (2x) 4 + -1cos * 2x + 5sin(x) = 2sin2(x) + 5sin(x) + 3 Reorder the terms for easier multiplication: 4 + -1 * 2cos * x + 5sin(x) = 2sin2(x) + 5sin(x) + 3 Multiply -1 * 2 4 + -2cos * x + 5sin(x) = 2sin2(x) + 5sin(x) + 3 Multiply cos * x 4 + -2cosx + 5sin(x) = 2sin2(x) + 5sin(x) + 3 Multiply ins * x 4 + -2cosx + 5insx = 2sin2(x) + 5sin(x) + 3 Multiply in2s * x 4 + -2cosx + 5insx = 2in2sx + 5sin(x) + 3 Multiply ins * x 4 + -2cosx + 5insx = 2in2sx + 5insx + 3 Reorder the terms: 4 + -2cosx + 5insx = 3 + 5insx + 2in2sx Add '-5insx' to each side of the equation. 4 + -2cosx + 5insx + -5insx = 3 + 5insx + -5insx + 2in2sx Combine like terms: 5insx + -5insx = 0 4 + -2cosx + 0 = 3 + 5insx + -5insx + 2in2sx 4 + -2cosx = 3 + 5insx + -5insx + 2in2sx Combine like terms: 5insx + -5insx = 0 4 + -2cosx = 3 + 0 + 2in2sx 4 + -2cosx = 3 + 2in2sx Solving 4 + -2cosx = 3 + 2in2sx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2cosx = 3 + -4 + 2in2sx Combine like terms: 4 + -4 = 0 0 + -2cosx = 3 + -4 + 2in2sx -2cosx = 3 + -4 + 2in2sx Combine like terms: 3 + -4 = -1 -2cosx = -1 + 2in2sx Divide each side by '-2osx'. c = 0.5o-1s-1x-1 + -1in2o-1 Simplifying c = 0.5o-1s-1x-1 + -1in2o-1 Reorder the terms: c = -1in2o-1 + 0.5o-1s-1x-1
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