Question

The polar form of the complex number z= \(\frac{i-1}{cos[\frac{\pi}{3}]+i sin[\frac{\pi}{3}]}\) is,

• A. \(\sqrt2(cos[\frac{\pi}{3}]+i \sin[\frac{\pi}{3}])\)
• B. \(\sqrt3(cos[\frac{\pi}{12}]+i \sin[\frac{\pi}{12}])\)
• C. \(\sqrt2(cos[\frac{5\pi}{3}]+i \sin[\frac{5\pi}{3}])\)
• D. \(\sqrt2(cos[\frac{5\pi}{12}]+i \sin[\frac{5\pi}{12}])\)

Answer 1

The Correct Option is D

The correct option is(D): \(\sqrt2(cos[\frac{5\pi}{12}]+i \sin[\frac{5\pi}{12}])\)