`(-i)^(4n+3)`, where n Is a positive integer.

((1+i)/(1-i))^(4n+1) where n is a positive integer.

Show that (-sqrt(-1))^(4n+3)=i , where n is a positive integer.

Show that (-sqrt(-1))^(4n+3) =i , where n is a positive integer.

Solve (x-1)^(n)=x^(n), where n is a positive integer.

Prove that (a) (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4) , where n is a positive integer. (b) (1+isqrt(3))^n+(1-isqrt(3)^n=2^(n+1)cos((npi)/3) , where n is a positive integer

Prove that (a)(1+i)^(n)+(1-i)^(n)=2^((n+2)/(2))*cos((n pi)/(4)) where n is a positive integer. (b) (1+i sqrt(3))^(n)+(1-i sqrt(3)^(n)=2^(n+1)cos((n pi)/(3)), where n is a positive integer

Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4) , where n is a positive integer.

Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4) , where n is a positive integer.

Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4) , where n is a positive integer.

Solve (x - 1)^n =x^n , where n is a positive integer.