If frac{3+i sin theta}{4-i cos theta}, theta | vedclass

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Question

$\frac{3+i \sin 	heta}{4-i \cos 	heta}$ is a real number

$\Rightarrow 3 \cos 	heta+4 \sin 	heta=0$

$\Rightarrow 	an 	heta=\frac{-3}{4}$

Vedclass · Accepted Answer

$\pi-	an ^{-1}\left(\frac{4}{3}ight)$

Vedclass · Answer

$\frac{3+i \sin 	heta}{4-i \cos 	heta}$ is a real number

$\Rightarrow 3 \cos 	heta+4 \sin 	heta=0$

$\Rightarrow 	an 	heta=\frac{-3}{4}$

argument of $\sin 	heta+i \cos 	heta=\pi-	an ^{-1} \frac{4}{3}$

If $\frac{3+i \sin \theta}{4-i \cos \theta}, \theta \in[0,2 \pi],$ is a real number, then an argument of $\sin \theta+\mathrm{i} \cos \theta$ is

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