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Simplifying i = 31sin(120pi * t) Multiply ip * t i = 31ins(120ipt) Remove parenthesis around (120ipt) i = 31ins * 120ipt Reorder the terms for easier multiplication: i = 31 * 120ins * ipt Multiply 31 * 120 i = 3720ins * ipt Multiply ins * ipt i = 3720i2npst Solving i = 3720i2npst Solving for variable 'i'. Combine like terms: 3720i2npst + -3720i2npst = 0 i + -3720i2npst = 0 Factor out the Greatest Common Factor (GCF), 'i'. i(1 + -3720inpst) = 0Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(1 + -3720inpst)' equal to zero and attempt to solve: Simplifying 1 + -3720inpst = 0 Solving 1 + -3720inpst = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3720inpst = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3720inpst = 0 + -1 -3720inpst = 0 + -1 Combine like terms: 0 + -1 = -1 -3720inpst = -1 Divide each side by '-3720npst'. i = 0.0002688172043n-1p-1s-1t-1 Simplifying i = 0.0002688172043n-1p-1s-1t-1Solution
i = {0, 0.0002688172043n-1p-1s-1t-1}
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