One value of `(1 + i)^(1/2)` is `(2)^(1/4) e^(i pi/8)` then other is

One value of (1+i)^(1//2) is 2^(1//4)e^(ipi//8) .The other value is

One value of (1+i)^((1)/(2)) is (2)^((1)/(4))e^(i((pi)/(8))) then the other value is

(1) The value of (1+i)(1+i^2)(1+i^3)(1+i^4) is

Show that one value of ((1 + sin . pi/8 + i cos . pi/8)/(1 + sin . pi/8 - i cos . pi/8))^(8//3) " is " - 1 .

Prove that one value of (1+i)^(1//2)-(1-i)^(1//2)is isqrt2(sqrt2-1).

If e^(i theta)=cos theta+i sin theta, find the value of |1e^(i pi/3)e^(i pi/4)e^(-i pi/3)1e^(i2 pi/3)e^(-i pi/4)e^(-i2 pi/3)1|

The value of i^(2)+i^(4)+i^(6)+i^(8)... upto (2n+1) terms,where i^(2)=-1, is equal to:

Find the value of (I ) sin^(-1) ( sin ((2pi )/(3)) ) (ii ) sin^(-1) (sin ((5 pi )/(4)))

If one root of x^(2)-(3+2i)x+(1+3i)-0 is 1+i then the other root is

If one root of x^(2)-(3+2i)x+(1+3i)=0 is 1+i then the other root is