The complex number {\z}= { {\i}-1}/{\cos \frac{\pi}{3}+ {\i} \sin \frac{\pi}{3}} is equal to: [31-Jan-2023 Shift 2]

Correct Answer is : √2(cos5π12+isin5π12)

\sqrt{2} (\cos \frac{5 \pi}{12}+ {\i} \sin \frac{5 \pi}{12})

\cos \frac{\pi}{12}-i \sin \frac{\pi}{12}

\sqrt{2} (\cos \frac{\pi}{12}+i \sin \frac{\pi}{12})

\sqrt{2} i (\cos \frac{5 \pi}{12}-i \sin \frac{5 \pi}{12})

JEE Mains 31-Jan-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 80 of 90

Marks: +1, -0

The complex number z=‌

i−1

cos‌

+isin‌‌

is equal to:

[31-Jan-2023 Shift 2]

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