Polar Cords and regular

Question

4.             Write the regular coordinate point (-3, -4) in polar form

5.             Write the polar coordinate point (5, 60^o) in regular coordinate form. 

Answer 1

The given regular coordinate point (-3, -4)

The polar form of a complex number , where and

To find the r :

 

Substitute x = - 3 and y = 4

To find value:

rd

The polar form is .

Answer 2

5) The given polar coordinate point (5, 60^o).

than r = 5 and

By using the basic trigonometric ratios:

Substitute r = 5 and

Apply crosss product property :

Substitute r = 5 and

Apply crosss product :

The regular coordinate form is