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

(i) |(cos theta,-sin theta),(sin theta,cos theta)|

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

If ((1+cos theta+i sin theta)/(sin theta+i+i cos theta))^(4)=cos n theta+i sin n theta , then n=

If ((1 + cos theta + i sin theta ) /(i+ sin theta + i cos theta ))= cos ntheta + i sin n theta then n is equal to :

[(1 + cos theta + i sin theta) / (sin theta + i (1 + cos theta))] ^ (4) = cos n theta + i sin n theta

((cos theta+i sin theta)^(4))/(((sin theta+i cos theta))^(5)) is equal to

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

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

((cos theta-i sin theta)^(4))/((sin theta+i cos theta)^(5)) is equal to