Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.3 The Product and Quotient Theorems - 8.3 Exercises - Page 377: 42

$I = 1.7+2.8~i$

$I = \frac{E}{R+(X_L-X_C)~i}$ $I = \frac{12~(cos~25^{\circ}+i~sin~25^{\circ})}{3+(4-6)~i}$ $I = \frac{12~(cos~25^{\circ}+i~sin~25^{\circ})}{3-2~i}$ $I = \frac{12~(cos~25^{\circ}+i~sin~25^{\circ})}{3-2~i}~\times~\frac{3+2~i}{3+2~i}$ $I = \frac{12~(3~cos~25^{\circ}-2~sin~25^{\circ}+i~3~sin~25^{\circ}+i~2~cos~25^{\circ})}{9+4}$ $I = \frac{12~(1.873687+3.0805~i)}{13}$ $I = 1.7+2.8~i$