Given that $\arg (a+b\mathrm{i})= heta $ , Where $a0$, $b0$, find, in terms of $ heta $ and $\pi

Question

Given that $\arg (a+b\mathrm{i})=	heta $ , Where $a>0$, $b>0$, find, in terms of $	heta $ and $\pi $, the value of $\arg (-a+\mathrm{i}b)$, [1] $\arg (-a-\mathrm{i}b)$, [1] $\arg (b+\mathrm{i}a)$. [1]

Accepted Answer

(i) $ \pi - \theta $; (ii) $ -(\pi - \theta) $; (iii) $ \frac{\pi}{2} - \theta $

N2002 P2 Q2(b)

N2002 P2 Q2(b)

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