`((sinpi//8+icospi//8)/(sinpi//8-icospi//8))^(8)`

(sinpi//8+icospi//8)^(8)/(sinpi//8-icospi//8)^(8)=

Express the following in a + ib form: (i) ((cos theta+ isin theta)/(sin theta + icos theta))^(4) (ii) ((cos 2theta -isin2theta)^(4)(cos4theta +isin4theta)^(-5))/((cos 3theta +isin3theta)^(-2) (cos 3theta -isin 3theta)^(-9)) (iii) ((sinpi//8 +icos pi//8)^(8))/((sinpi//8-icospi//8)^(8))

Express the following in a + ib form: (i) ((cos theta+ isin theta)/(sin theta + icos theta))^(4) (ii) ((cos 2theta -isin2theta)^(4)(cos4theta +isin4theta)^(-5))/((cos 3theta +isin3theta)^(-2) (cos 3theta -isin 3theta)^(-9)) (iii) ((sinpi//8 +icos pi//8)^(8))/((sinpi//8-icospi//8)^(8))

[(1+sin(pi//8)+icos(pi//8))/(1+sin(pi//8)-icospi//8)]^(-8//3)

((sin (pi/8)+i cos (pi/8))/(sin (pi/8)-i cos (pi/8)))^(8)=

{(1+cospi//8+isinipi//8)/(1+cospi//8-isinpi//8)}^(8)=

{(1+cospi//8+isinipi//8)/(1+cospi//8-isinpi//8)}^(8)=

((1+cos. pi/8+isin. pi/8)/(1+cos. pi/8- isin. pi/8))^(8)=

The value of [(1+cos(pi/8)+isin(pi/8))/(1+cos(pi/8)-isin(pi/8))]^8 is