a.

(1).Draw the polar grid.

(2).Plot the points and .

Graph On a Polar grid :

Graph On a Rectungular grid :

Observe the graph :

The origins coincide and the -axis aligns with the polar axis and the -axis ia alligned with the line .

Form one right triangle by connecting point  to the origin and perpendicular to the -axis.

Form another right triangle by connecting point  to the origin and perpendicular to the -axis.

b.

For the point , and .

The side opposite and side adjacent angle can be found using the trigonometric ratios.

For the point , and .

The side opposite and side adjacent angle can be found using the trigonometric ratios.

Mark the obtained points and on the polar grid.

c.

The lengths of the legs represent the - and -coordinates for each point.

d.

Compare the rectangular coordinates  and polar coordinates  of the points.

.

.

For both the points corresponds with and corresponds with .

a.

Graph On a Polar grid :

Graph On a Rectungular grid :

b.

The length of the legs of each triangle and .

c.

The lengths of the legs represent the - and -coordinates for each point.

d.

For both the points corresponds with and corresponds with .