ONE OR MORE CORRECTIf complex no.(1+ri)^3=S(1+i)for some real S then value of r can beA cos pi/5B cosec 3pi/2C cot pi/12D tan pi/12

let (1+ri)^3=x+iy

argument of x+iy=3*arctan(3)

argument of S(1+i)=(pi/4)+(n*pi), where n is ANY integer

3arctan(r)=pi/4 +n*pi

arctan(r)=(pi/12)+(n/3)*pi

r=tan((pi/12)+(n*pi/3)), for ANY INTEGER n

Approved