((1+cos(pi/(12))+i sin ((pi)/(12)))/(1+c...

`((1+cos(pi/(12))+i sin ((pi)/(12)))/(1+cos (pi/(12))- i sin (pi/(12))))^(72)` is equal to

A

0

B

`-1`

C

1

D

`1//2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

cos^(4) ""(pi)/(12) - sin^(4)"" (pi)/(12) is equal to

If z= cos (pi)/(3) - i sin (pi)/(3) then z^(2)-z+1 is equal to

One of the value of ("cos"(pi)/(6) +i "sin"(pi)/(6))^((1)/(2)) + ("cos"(pi)/(6)- i "sin"(pi)/(6))^((11)/(2)) is

Show that sin ((pi)/(2)-x)=cos x

sin^-1[sin((7pi)/6)] is equal to --

cos ^(-1) [ cos ((7pi)/(5))] is equal to

The value of sin^(2)""(pi)/(8) + sin^(2)""(3pi)/(8) + sin^(2)""(5pi)/(8) + sin^(2) ""(7pi)/(8) is equal to a) (1)/(8) b) (1)/(4) c) (1)/(2) d)2

The real part of [1 + cos ((pi )/(5)) + i sin ((pi)/(5)) ]^(-1) is :