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Simplifying cos2(5x) + sin2(5x) = 1 Remove parenthesis around (5x) cos2 * 5x + sin2(5x) = 1 Reorder the terms for easier multiplication: 5cos2 * x + sin2(5x) = 1 Multiply cos2 * x 5cos2x + sin2(5x) = 1 Remove parenthesis around (5x) 5cos2x + in2s * 5x = 1 Reorder the terms for easier multiplication: 5cos2x + 5in2s * x = 1 Multiply in2s * x 5cos2x + 5in2sx = 1 Solving 5cos2x + 5in2sx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5in2sx' to each side of the equation. 5cos2x + 5in2sx + -5in2sx = 1 + -5in2sx Combine like terms: 5in2sx + -5in2sx = 0 5cos2x + 0 = 1 + -5in2sx 5cos2x = 1 + -5in2sx Divide each side by '5os2x'. c = 0.2o-1s-2x-1 + -1in2o-1s-1 Simplifying c = 0.2o-1s-2x-1 + -1in2o-1s-1 Reorder the terms: c = -1in2o-1s-1 + 0.2o-1s-2x-1
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