If `a=cos(4 pi)/(3)+i sin(4 pi)/(3)` then the value of `(1+a)^(3n)` is

If a=cos((4 pi)/(3))+i sin((4 pi)/(3)), then the value ((1+a)/(2))^(3n)

If a=cos((4 pi)/(3))+i sin((4 pi)/(3)), then the value ((1+a)/(2))^(3n)

If a=cos""(4pi)/(3)+isin""(4pi)/(3) , then the value of ((1+a)/(2))^(3n) is :

If a=cos[(4pi)/3]+i sin[(4 pi)/3] then (1+a)^(3n)=

Circumcentre of DeltaABC (h,k) ,where co-ordinates of A=(2+cos(pi/3),3+sin(pi/3)) , B=(2+cos pi,3+sin pi) and C=(2+cos(4 pi/3),3+sin(4 pi/3)) , then the value of h^(2)+k^(2)=

z=(1-i)/(cos(pi/3)+i sin(pi/3))

The period of the function f(x)=4sin^(4)((4x-3 pi)/(6 pi^(2)))+2cos((4x-3 pi)/(3 pi^(2))) is k pi^(3) then the value of [1/k] (where [ ] denote the G.I.F )

Two of the three value of (-1)^((1)/(3)) are cos((pi)/(3))+i sin((pi)/(3)) and cos((5 pi)/(3))+i sin((5 pi)/(3)) the third value is

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

cos((3pi)/4+x)-sin(pi/4-x)=?