Question

I need help converting these polar coordinates into rectangular coordinates.
(2,7pi/3)

Answer 1

Luckily, polar to rectangular is far easier than the other way around :D
If you have the polar coordinates
\[\large (\color{green}r,\color{orange}\theta)\]

then their corresponding pair of rectangular coordinates is given by
\[\Huge (\color{red}x,\color{blue}y) = (\color{green}r\cos(\color{orange}\theta) \ , \ \color{green}r\sin(\color{orange}\theta))\]

Answer 2

x=rcosA
y=rsinA
square and addboth equations
this gives x^2 + y^2 = r^2
r = sqrt(x^2 + y^2)
now have r and x and put them in equations and then solve.
if any doubt , can ask furthur :)

Answer 3

Thnk you everyone

Answer 4

doesn't matter