I'm having trouble solving this equation
(3,3) to polar and (8,PI) to rectangular.
I know hoe to change it when its in a equation like 4cis5theata, but i don't know how when its in coordinates.
convert the coordinates"...?
If so, then note that (3, 3) in rectangular means "x = 3 and y = 3". What then is the value of r? (Use the formula they gave you for this.) Since , what must be the value of
The polar coordinates means that r = 8 and . Plug these into the formulas they gave you for x and y.
(3, 3) is (x, y) ---> Cartesian/Rectangular
We need (r, ) ---> Polar
So (3, 3) in Cartesian coordinates is ( , ) in polar coordinates.
Converting rectangular to polar is easier:
x = r cos theta = 8 cos pi = -8.
y = r sin theta = 8 sin pi = 0.
So (8, ) in polar is (-8, 0) in rectangular.
I hope that helps.