Rectangular coordinates 33 equals polar coordinates angle n

Rectangular coordinates (-3,-3) equals ______ polar coordinates. angle needs to include pi.

Solution

rectangular coordinates=(x,y) = (-3,-3)

polar coordinates= (r,)

r= ( x² + y² )

= ( -3² + -3² )

= 18

=3 2

= tan^-1 ( y / x )

= tan^-1 ( -3 /-3 )

= tan^-1 1

=45⁰

polar coordinates = (3 2, 45⁰ )