Prove that ((1+cos theta+i sin theta)/(1+cos theta-i sin theta))^(n)=cos n theta+i sin n theta |...

"(cos theta+i sin theta)^(6)(cos theta-i sin theta)^(-3)

" (i) "(cos theta+sin theta)/(cos theta-sin theta)

(cos theta + i sin theta)^3 xx (cos theta-i sin theta)^4=

Solve (1)/(cos theta-i sin theta)

((cos theta + i sin theta) / (sin theta + i cos theta)) ^ (4) = cos8 theta + i sin8 theta

1 + cos theta + i sin theta | =?

The value of (1+cos theta+i sin theta)^(n)+(1+cos theta-i sin theta)^(n)=

Find the general value of theta which satisfies the equation (cos theta+i sin theta)(cos2 theta+i sin2 theta)......(cos n theta+i sin n theta)=1

The number of values of theta in (0, pi] , such that (cos theta + i sin theta) (cos 3 theta + i sin 3 theta) (cos 5 theta + i sin 5 theta) (cos 7 theta + i sin 7 theta) (cos 9 theta + i sin 9 theta) = -1 is