Question

. (a) Plot the following points in the same polar coordinates system

(3,π/4),(−3,π/4),(3,−π/4),(−3,−π/4)

(b) Convert into rectangular coordinates:

(4,−2π/3)

Answer 1

(a)

$A(3,π/4), B(−3,π/4), C(3,−π/4), D(−3,−π/4)$

(b)

$$(4\cos(-2\pi/3), 4\sin(-2\pi/3))$$

$$(-2, -2\sqrt{3})$$