Evaluate `((costheta+isintheta)/(sintheta+icostheta))^4`

(costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

If tantheta=a/b then find the value of (costheta+sintheta)/(costheta-sintheta)

Find the inverse of the matrix [(costheta ,sintheta) ,( -sintheta ,costheta )] .

If 3tantheta=4 , find the value of (4costheta-sintheta)/(2costheta+sintheta)

Choose the correct answer from the following : The value of |{:(-costheta,sintheta),(-sintheta,-costheta):}| is:

If tantheta=4/5 , find the value of (costheta-sintheta)/(costheta+sintheta) .

If 3cottheta=4, find the value of (4costheta-sintheta)/(2costheta+sintheta) .

If tantheta=(a)/(b) ,then find the value of (costheta+sintheta)/(costheta-sintheta) .

If 3cottheta=2 , find the value of (4sintheta-3costheta)/(2sintheta+6costheta)

If tantheta=(4)/(3) , then find the value of (3sintheta-2costheta)/(3sintheta+5costheta)