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Simplifying cos(2x) + 10sin2(x) = 5 Remove parenthesis around (2x) cos * 2x + 10sin2(x) = 5 Reorder the terms for easier multiplication: 2cos * x + 10sin2(x) = 5 Multiply cos * x 2cosx + 10sin2(x) = 5 Multiply in2s * x 2cosx + 10in2sx = 5 Solving 2cosx + 10in2sx = 5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10in2sx' to each side of the equation. 2cosx + 10in2sx + -10in2sx = 5 + -10in2sx Combine like terms: 10in2sx + -10in2sx = 0 2cosx + 0 = 5 + -10in2sx 2cosx = 5 + -10in2sx Divide each side by '2osx'. c = 2.5o-1s-1x-1 + -5in2o-1 Simplifying c = 2.5o-1s-1x-1 + -5in2o-1 Reorder the terms: c = -5in2o-1 + 2.5o-1s-1x-1
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