Chapter 8 - Quiz (Sections 8.1-8.4) - Page 385: 6b

$-3.2139+3.8302i$

Work Step by Step

$5$ cis $130^{\circ}$=$5(\cos130^{\circ}+i\sin130^{\circ})$ It is known that $\cos130^{\circ}\approx-0.64279$ and $\sin130^{\circ}\approx0.76604$ Substituting these values in the expression and solving: $5(\cos130^{\circ}+i\sin130^{\circ})\approx5(-0.64279+i(0.76604))\approx-3.2139+3.8302i$

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