(-1+isqrt3)^(15)/(1-i)^(20)+(-1-isqrt3)^(15)/(1+i)^(20) is equal to

ON DOUBTNUT YOU WILL NOT BE ABLE TO UNDERSTAND THE SOLUTION BECAUSE THE SOLUTION IS LIKE THIS:-

BUT HERE WHY 2 IS MULTIPLIED AND DIVIDED?

BECAUSE ACCORDING TO DE-MOIVRES THEOREM

(COSθ+ISINθ)=A+IB , HERE VALUE OF θ CANNOT BE DETERMINED ACCORING TO OUR KNOWLEDGE BECAUSE SINθ= √3 AND HERE VALUE OF θ FOR SIN WE KNOW IS 0,1/2,

1/√2,√3/2,1

SO WHEN WE MUTIPLY IT AND DIVIDE WITH 2 THEN SINθ WILL BE √3/2 SO θ=60° NOW DO ACCORDING TO DOUBTNUT SOLUTION

BOL!!!!!!!!!(BEST OF LUCK)