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Simplifying sin2(x)(1 + cot2)(x) = 1 Reorder the terms for easier multiplication: in2s * x * x(1 + cot2) = 1 Multiply in2s * x in2sx * x(1 + cot2) = 1 Multiply in2sx * x in2sx2(1 + cot2) = 1 (1 * in2sx2 + cot2 * in2sx2) = 1 Reorder the terms: (cin2ost2x2 + 1in2sx2) = 1 (cin2ost2x2 + 1in2sx2) = 1 Solving cin2ost2x2 + 1in2sx2 = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1in2sx2' to each side of the equation. cin2ost2x2 + 1in2sx2 + -1in2sx2 = 1 + -1in2sx2 Combine like terms: 1in2sx2 + -1in2sx2 = 0 cin2ost2x2 + 0 = 1 + -1in2sx2 cin2ost2x2 = 1 + -1in2sx2 Divide each side by 'in2ost2x2'. c = i-1n-2o-1s-1t-2x-2 + -1o-1t-2 Simplifying c = i-1n-2o-1s-1t-2x-2 + -1o-1t-2
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