What theorem does this remind you of?

Algebra Level 5

True or false:

r(cos⁡θ+isin⁡θ)=r(cos⁡(θ2)+isin⁡(θ2))\sqrt{r(\cos\theta + i\sin\theta)}=\sqrt{r}\left(\cos\left(\dfrac{\theta}{2}\right)+i\sin\left(\dfrac{\theta}{2}\right)\right)

where r>0r>0.

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Nihar Mahajan by Nihar Mahajan
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