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Simplifying Cos(4x) * cos(x) + sin(4x) * sin(x) = 1 Remove parenthesis around (4x) osC * 4x * cos(x) + sin(4x) * sin(x) = 1 Reorder the terms for easier multiplication: 4osC * x * cos * x + sin(4x) * sin(x) = 1 Multiply osC * x 4osxC * cos * x + sin(4x) * sin(x) = 1 Multiply osxC * cos 4co2s2xC * x + sin(4x) * sin(x) = 1 Multiply co2s2xC * x 4co2s2x2C + sin(4x) * sin(x) = 1 Remove parenthesis around (4x) 4co2s2x2C + ins * 4x * sin(x) = 1 Reorder the terms for easier multiplication: 4co2s2x2C + 4ins * x * ins * x = 1 Multiply ins * x 4co2s2x2C + 4insx * ins * x = 1 Multiply insx * ins 4co2s2x2C + 4i2n2s2x * x = 1 Multiply i2n2s2x * x 4co2s2x2C + 4i2n2s2x2 = 1 Solving 4co2s2x2C + 4i2n2s2x2 = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4i2n2s2x2' to each side of the equation. 4co2s2x2C + 4i2n2s2x2 + -4i2n2s2x2 = 1 + -4i2n2s2x2 Combine like terms: 4i2n2s2x2 + -4i2n2s2x2 = 0 4co2s2x2C + 0 = 1 + -4i2n2s2x2 4co2s2x2C = 1 + -4i2n2s2x2 Divide each side by '4o2s2x2C'. c = 0.25o-2s-2x-2C-1 + -1i2n2o-2C-1 Simplifying c = 0.25o-2s-2x-2C-1 + -1i2n2o-2C-1 Reorder the terms: c = -1i2n2o-2C-1 + 0.25o-2s-2x-2C-1
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