If sin theta + 2sin phi + 3s | vedclass

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Question

Let $a=\cos 	heta+i \sin 	heta, b=\cos \phi+i \sin \phi, c=\cos \psi+i \sin \psi$

$a+2 b+3 c=0+i .0$

$\mathrm{SO}$,

$a+2 b+3 c=0$

$a^{3}

Vedclass · Accepted Answer

$18\cos (	heta  + \phi  + \psi )$

Vedclass · Answer

Let $a=\cos 	heta+i \sin 	heta, b=\cos \phi+i \sin \phi, c=\cos \psi+i \sin \psi$

$a+2 b+3 c=0+i .0$

$\mathrm{SO}$,

$a+2 b+3 c=0$

$a^{3}+8 b^{3}+27 c^{3}=3 \cdot(a \cdot 2 b \cdot 3 c)$

$=18 \mathrm{abc}$

$\mathrm{SO}$,

$\cos 3 	heta+8 . \cos 3 \phi+27 \cos \psi=18 \cos (	heta+\phi+\psi)$

If $\sin \theta + 2\sin \phi + 3\sin \psi = 0$ and $\cos \theta + 2\cos \phi + 3\cos \psi = 0$ , then the value of $\cos 3\theta + 8\cos 3\phi + 27\cos 3\psi = $

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