निम्न सम्मिश्र संख्याओं को ध्रुवीय रूप में लिखो ।
(i) `2(cos30^(@)+isin30^(@))xx3(cos90^(@)+ i sin90^(@))` (ii) `(cos150^(@)+ i sin150^(@))/(cos60^(@)+isin60^(@))`

Explanation

(i) `2(cos30^(@)+isin30^(@))xx3(cos90^(@)+isin90^(@))`
`=6[cos(30^(@)+90^(@))+i sin(30^(@)+90^(@))]`
`=6(cos120^(@)+i sin120^(@))`
`=6("cos"(2pi)/(3)+i "sin"(2pi)/(3))`
(ii) `(cos150^(@)+isin150^(@))/(cos60^(@)+isin60^(@))=(cos150^(@)+isin150^(@))/(cos60^(@)+isin60^(@))xx(cos60^(@)-isin60^(@))/(cos60^(@)-isin60^(@))`
`=[cos(150^(@)-60^(@))+isin(150^(@)-60^(@))]`
`=(cos90^(@)+isin90^(@))=("cos"(pi)/(2)+i"sin"(pi)/(2))`