Question

x=cos theta+isin theta find x+1/x​

Answer 1

GOOD NIGHT!

x = Cos ß + i Sin ß

1/x = Cos ß - i Sinß/ ( Cos² ß - i Sin2 ß )

BY MULTIPLYING NUMERATOR AND DENOMINATOR BY CONJUGATE OF DENOMINATOR.

1/x = Cos ß - i Sin ß

x + 1/x = 2 Cos ß

NOTE:- ß = Alfa

Answer 2

x=cosA+isinA

1/x=(x)^-1=(cosA+isnA)^-1

using identity ,

(cosA+isinA)^-n=(cosnA-isinnA)

1/x=cosA-isinA

x+1/x=cosA+isinA+cosA-isinA

=2cosA..

hope its help u....✌✌✌✌✌✌