If the complex number is \( (1+r i)^{3}=\lambda(1+i) \), when \( i=... VIDEO
If the complex number is \( (1+r i)^{3}=\lambda(1+i) \), when \( i=\sqrt{-1} \), for some real \( \lambda \), the value of \( r \) can be
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(a) \( \cos \frac{\pi}{5} \)
(b) \( \operatorname{cosec} \frac{3 \pi}{2} \)
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(c) \( \cot \frac{\pi}{12} \)
(d) \( \tan \frac{\pi}{12} \)
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