If the polar coordinates of the point ( x , y ) are ( r , θ ), determine the polar coordinates for the following points. (use any variable or symbol stated above as necessary.)

a) -x, y
b)-2x,-2y
c)3x,-3y

i don't understand what they are asking for because i tried the r=sqrt(x^2+y^2) and that theta = tan^-1(y/x) and it was wrong.

⇒Polar Coordinate of point (x,y)=(r,Ф)

The Point (x,y) lies in First Quadrant.

r=Distance from Origin to point (x,y)

⇒The Point (-x,y) lies in Second Quadrant.

Polar Coordinate of point (-x,y)=(r,π-Ф)

⇒The Point (-2x,-2y) lies in Third Quadrant.

Polar Coordinate of point (-2x,-2y)=(2r,π+Ф)

⇒The Point (3x,-3y) lies in Fourth Quadrant.

Polar Coordinate of point (3x,-3y)=(3r,-Ф)

it’s supposed to be -4+45=41

step-by-step explanation: