A) \[\frac{\sqrt{2}}{10}(1+i)\]
B) \[\frac{\sqrt{2}}{10}(1-i)\]
C) \[\frac{10}{\sqrt{2}}(1-i)\]
D) \[\frac{10}{\sqrt{2}}(1+i)\]
Correct Answer: D
Solution :
\[\frac{4(\cos {{75}^{o}}+i\sin {{75}^{o}})}{0.4(\cos {{30}^{o}}+i\sin {{30}^{o}})}\] \[=10(\cos {{75}^{o}}+i\sin {{75}^{o}})(\cos {{30}^{o}}-i\sin {{30}^{o}})\] \[=10(\cos {{45}^{o}}+i\sin {{45}^{o}})=\frac{10}{\sqrt{2}}(1+i)\]You need to login to perform this action.
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