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

Answer: (D)

$\sqrt2(cos[\frac{5\pi}{12}]+i \sin[\frac{5\pi}{12}])$

Answer 2

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