Explain how to convert a point from polar coordinates to rec

Solution

to convert a point from polar coordinates to rectangular coordinates

x=rcos y=rsin

example : point (r,) =(1, /4)

(x,y)=(1cos/4 ,1sin/4)

(x,y)=(1/2 ,1/2)

to convert a point from rectangular to polar coordinates

r=[x²+y²] ,=tan^-1(y/x)

example :(x,y)=(1,1)

r=[1²+1²] ,=tan^-1(1/1)

r=2 ,=/4

(r,)=(2,/4)

for your classmates to work (Rectangular to Polar)

(x,y)=(1,3)

(x,y)=(-3,1)

or (Polar to rectangular).

(r,)=(2,2/3)

(r,)=(2,)