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Simplifying 1 + -1cos(5x) * cos(3x) + -1sin(5x) * sin(3x) = 2sin2(x) Remove parenthesis around (5x) 1 + -1cos * 5x * cos(3x) + -1sin(5x) * sin(3x) = 2sin2(x) Remove parenthesis around (3x) 1 + -1cos * 5x * cos * 3x + -1sin(5x) * sin(3x) = 2sin2(x) Reorder the terms for easier multiplication: 1 + -1 * 5 * 3cos * x * cos * x + -1sin(5x) * sin(3x) = 2sin2(x) Multiply -1 * 5 1 + -5 * 3cos * x * cos * x + -1sin(5x) * sin(3x) = 2sin2(x) Multiply -5 * 3 1 + -15cos * x * cos * x + -1sin(5x) * sin(3x) = 2sin2(x) Multiply cos * x 1 + -15cosx * cos * x + -1sin(5x) * sin(3x) = 2sin2(x) Multiply cosx * cos 1 + -15c2o2s2x * x + -1sin(5x) * sin(3x) = 2sin2(x) Multiply c2o2s2x * x 1 + -15c2o2s2x2 + -1sin(5x) * sin(3x) = 2sin2(x) Remove parenthesis around (5x) 1 + -15c2o2s2x2 + -1ins * 5x * sin(3x) = 2sin2(x) Remove parenthesis around (3x) 1 + -15c2o2s2x2 + -1ins * 5x * ins * 3x = 2sin2(x) Reorder the terms for easier multiplication: 1 + -15c2o2s2x2 + -1 * 5 * 3ins * x * ins * x = 2sin2(x) Multiply -1 * 5 1 + -15c2o2s2x2 + -5 * 3ins * x * ins * x = 2sin2(x) Multiply -5 * 3 1 + -15c2o2s2x2 + -15ins * x * ins * x = 2sin2(x) Multiply ins * x 1 + -15c2o2s2x2 + -15insx * ins * x = 2sin2(x) Multiply insx * ins 1 + -15c2o2s2x2 + -15i2n2s2x * x = 2sin2(x) Multiply i2n2s2x * x 1 + -15c2o2s2x2 + -15i2n2s2x2 = 2sin2(x) Multiply in2s * x 1 + -15c2o2s2x2 + -15i2n2s2x2 = 2in2sx Solving 1 + -15c2o2s2x2 + -15i2n2s2x2 = 2in2sx 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 + -15c2o2s2x2 + -1 + -15i2n2s2x2 = -1 + 2in2sx Reorder the terms: 1 + -1 + -15c2o2s2x2 + -15i2n2s2x2 = -1 + 2in2sx Combine like terms: 1 + -1 = 0 0 + -15c2o2s2x2 + -15i2n2s2x2 = -1 + 2in2sx -15c2o2s2x2 + -15i2n2s2x2 = -1 + 2in2sx Add '15i2n2s2x2' to each side of the equation. -15c2o2s2x2 + -15i2n2s2x2 + 15i2n2s2x2 = -1 + 2in2sx + 15i2n2s2x2 Combine like terms: -15i2n2s2x2 + 15i2n2s2x2 = 0 -15c2o2s2x2 + 0 = -1 + 2in2sx + 15i2n2s2x2 -15c2o2s2x2 = -1 + 2in2sx + 15i2n2s2x2 Divide each side by '-15o2s2x2'. c2 = 0.06666666667o-2s-2x-2 + -0.1333333333in2o-2s-1x-1 + -1i2n2o-2 Simplifying c2 = 0.06666666667o-2s-2x-2 + -0.1333333333in2o-2s-1x-1 + -1i2n2o-2 Reorder the terms: c2 = -0.1333333333in2o-2s-1x-1 + -1i2n2o-2 + 0.06666666667o-2s-2x-2 Reorder the terms: c2 + 0.1333333333in2o-2s-1x-1 + i2n2o-2 + -0.06666666667o-2s-2x-2 = -0.1333333333in2o-2s-1x-1 + 0.1333333333in2o-2s-1x-1 + -1i2n2o-2 + i2n2o-2 + 0.06666666667o-2s-2x-2 + -0.06666666667o-2s-2x-2 Combine like terms: -0.1333333333in2o-2s-1x-1 + 0.1333333333in2o-2s-1x-1 = 0.0000000000 c2 + 0.1333333333in2o-2s-1x-1 + i2n2o-2 + -0.06666666667o-2s-2x-2 = 0.0000000000 + -1i2n2o-2 + i2n2o-2 + 0.06666666667o-2s-2x-2 + -0.06666666667o-2s-2x-2 c2 + 0.1333333333in2o-2s-1x-1 + i2n2o-2 + -0.06666666667o-2s-2x-2 = -1i2n2o-2 + i2n2o-2 + 0.06666666667o-2s-2x-2 + -0.06666666667o-2s-2x-2 Combine like terms: -1i2n2o-2 + i2n2o-2 = 0 c2 + 0.1333333333in2o-2s-1x-1 + i2n2o-2 + -0.06666666667o-2s-2x-2 = 0 + 0.06666666667o-2s-2x-2 + -0.06666666667o-2s-2x-2 c2 + 0.1333333333in2o-2s-1x-1 + i2n2o-2 + -0.06666666667o-2s-2x-2 = 0.06666666667o-2s-2x-2 + -0.06666666667o-2s-2x-2 Combine like terms: 0.06666666667o-2s-2x-2 + -0.06666666667o-2s-2x-2 = 0.00000000000 c2 + 0.1333333333in2o-2s-1x-1 + i2n2o-2 + -0.06666666667o-2s-2x-2 = 0.00000000000 The solution to this equation could not be determined.
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