Home
Class 12
MATHS
If a=cos""(4pi)/(3)+isin""(4pi)/(3), the...

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

A

`(-1)^(n)`

B

`(-1)^(n)/(2^(3n))`

C

`(1)/(2^(3n))`

D

`(-1)^(n)+1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If w=cos""(pi)/(n)+isin""(pi)/(n) then value of 1+w+w^(2)+.......+w^(n-1) 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)=

If a=b(cos(2 pi))/(3)=(cos(4 pi))/(3), then write the value o ab+bc+ca

-2(cos(pi/3)+isin(pi/3))=?

cos((3pi)/4)-isin((3pi)/4)=?

If tan((pi)/(4)+phi)=(1)/(3) ,then the value of cos2 phi is