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Simplifying sin2x(1 + cot2x) = 1 (1 * in2sx + cot2x * in2sx) = 1 Reorder the terms: (cin2ost2x2 + 1in2sx) = 1 (cin2ost2x2 + 1in2sx) = 1 Solving cin2ost2x2 + 1in2sx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1in2sx' to each side of the equation. cin2ost2x2 + 1in2sx + -1in2sx = 1 + -1in2sx Combine like terms: 1in2sx + -1in2sx = 0 cin2ost2x2 + 0 = 1 + -1in2sx cin2ost2x2 = 1 + -1in2sx Divide each side by 'in2ost2x2'. c = i-1n-2o-1s-1t-2x-2 + -1o-1t-2x-1 Simplifying c = i-1n-2o-1s-1t-2x-2 + -1o-1t-2x-1
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