Question

How do you divide `( 7i-5) / (2i+1)` in trigonometric form?

Answer 1

In trigonometric form `-3.85(cos242.1+i sin 242.1)`

Explanation:

`(7i-5)/(2i+1) = ((7i-5)(2i-1))/((2i+1)(2i-1)) = (-14+5-17i)/(-4-1)= -1/5*(-9-17i)`
`r=sqrt(9^2+17^2)=19.24` `theta= 180+tan^-1(17/9)=242.1^0` As it is on 3rd quadrant 180 has been added.
In trigonometric form : `-19.24/5(cos242.1+i sin 242.1)`
or`-3.85(cos242.1+i sin 242.1)`[Ans]