Simplify : `((cos3theta+isin3theta)^7(cos5theta-isin5theta)^4)/((cos4theta+isin4theta)^10(cos13theta-isin13theta)^3)`

(cos3theta+isin3theta)^5/(costheta+isintheta)^6

Simplify : ((cos3theta+isin3theta)^(2)(cos3theta-isin3theta)^(-3))/((cos4theta+isin4theta)^(-4)(costheta+isintheta)^(2))

Simplify : ((cos6theta+isin6theta)(cos2theta+isin2theta))/((cos4theta-isin4theta)(cos3theta+isin3theta))

((costheta+isintheta)^5(cos3theta-isin3theta)^6)/((cos2theta+isin2theta)^3(cos4theta-isin4theta)^5)=

((cos2theta+isin2theta)^(3)(cos3theta-isin3theta)^(4))/((cos3theta+isin3theta)^(2)(cos4theta+isin4theta)^(-3))

((costheta+isintheta)^(5)(cos3theta-isin3theta)^(6))/((cos2theta+isin2theta)^(3)(cos4theta-isin4theta)^(5))

Simplify ((cos2theta+isin2theta)^6(cos3theta+isin3theta)^(-5))/((cos5theta+isin5theta)^(-8)(cos6theta-isin6theta)^(-2))

Statement-I : ((costheta+isintheta)^5(cos3theta-isin3theta)^6)/((cos2theta+isin2theta)^3(cos4theta-isin4theta)^5)=1 Statement-II : ((cos2theta+isin2theta)^3(cos3theta-isin3theta)^4)/((cos3theta+isin3theta)^2(cos4theta+isin4theta)^(-3))=1

Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4theta+isin4theta)^(-5))/((cos3theta+isin3theta)^(-2)(cos3theta-isin3theta)^(-9))

Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4theta+isin4theta)^(-5))/((cos3theta+isin3theta)^(-2)(cos3theta-isin3theta)^(-9))