Complex Numbers And Quadratic Equations question 210
Question: The value of $ \frac{4(\cos 75^{o}+i\sin 75^{o})}{0.4(\cos 30^{o}+i\sin 30^{o})} $ is
Options:
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) $
Show Answer
Answer:
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) $
BETA
