If `[(1+cos theta+i sin theta)/(sin theta+i(1+cos theta))]^4=cos ntheta+isin ntheta`, find `n`

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

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 :

((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)|

((cos theta+isin theta)^4)/((sin theta+icos theta)^5)=?

If (cos theta + i sin theta)(cos 2 theta +i sin 2 theta ) …(cos n theta + i sin n theta)=1 then the value of theta is (m are integers)-

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