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Simplifying 9.8 = 9.7805(1 + 0.0053sin2x) 9.8 = (1 * 9.7805 + 0.0053in2sx * 9.7805) 9.8 = (9.7805 + 0.05183665in2sx) Solving 9.8 = 9.7805 + 0.05183665in2sx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.05183665in2sx' to each side of the equation. 9.8 + -0.05183665in2sx = 9.7805 + 0.05183665in2sx + -0.05183665in2sx Combine like terms: 0.05183665in2sx + -0.05183665in2sx = 0.00000000 9.8 + -0.05183665in2sx = 9.7805 + 0.00000000 9.8 + -0.05183665in2sx = 9.7805 Add '-9.8' to each side of the equation. 9.8 + -9.8 + -0.05183665in2sx = 9.7805 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + -0.05183665in2sx = 9.7805 + -9.8 -0.05183665in2sx = 9.7805 + -9.8 Combine like terms: 9.7805 + -9.8 = -0.0195 -0.05183665in2sx = -0.0195 Divide each side by '-0.05183665n2sx'. i = 0.376181717n-2s-1x-1 Simplifying i = 0.376181717n-2s-1x-1
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