" सिद्ध कीजिये - "quad (1-i)^(n)(1-(1)/(i))^(n)=2^(n)

Show that (1-i)^(n)(1-(1)/(i))^(n)=2^(n) for all n in N

Find the integral values of n for the equations : (a) (1+i)^(n)=(1-i)^(n) (b) (1-i)^(n)=2^(n)

(1+i)^(2 n)+(1-i)^(2 n), n in z is

" *.i).i) If "n" is an integer then show that "(1+i)^(2n)+(1-i)^(2n)=2^(n+1)cos(n pi)/(2)

If n is a positive integer prove that (1+i)^(2n)+(1-i)^(2n)=2^(n+1)cos((n pi)/(2))

If n is an integer then show that (1+i)^(2n)+(1-i)^(2n)=2^(n+1)cos(n pi)/(2)

A : (1+i)^(6)+(1-i)^(6)=0 R : If n is a positive integer then (1+i)^(n)+(1-i)^(n)=2^((n//2)+1).cos""(npi)/(4)

1 + i^(2n) + i^(4n) + i^(6n)

If n in Z , then (2^(n))/(1+i)^(2n)+(1+i)^(2n)/(2^(n)) is equal to

Prove that (1 + i)^(n) + (1 - i)^(n) = 2^((n + 2)/(2)) cos (n pi)/(4)