If the complex number is \( (1+r i)^{3}=\lambda(1+i) \), when \( \m...

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If the complex number is \( (1+r i)^{3}=\lambda(1+i) \), when
\( \mathrm{P} \) \( i=\sqrt{-1} \), for some real \( \lambda \), the value of \( r \) can be

W
(1) \( \cos \frac{\pi}{5} \)
(2) \( \operatorname{cosec} \frac{3 \pi}{2} \)
(3) \( \cos \frac{\pi}{12} \)
(4) \( \operatorname{cosec} \frac{\pi}{12} \)
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