Solveeit Logo
Login

Question

Question: The least positive integer \(\frac{4(\cos 75^{o} + i\sin 75^{o})}{0.4(\cos 30^{o} + i\sin 30^{o})}\)...

The least positive integer 4(cos⁡75o+isin⁡75o)0.4(cos⁡30o+isin⁡30o)\frac{4(\cos 75^{o} + i\sin 75^{o})}{0.4(\cos 30^{o} + i\sin 30^{o})} which will reduce 1+2i,−1−i,−2−2i1 + \sqrt{2}i, - 1 - i, - 2 - 2i to a real number, is.

A

2

B

3

C

4

D

5

Answer

2

Explanation

Solution

xyz=4(−2)(−2)=16xyz = 4( - 2)( - 2) = 16

Hence, to make the real number the least positive integar is 2.