Beginners can convert polar coordinate system into rectangular coordinate system, which is a little troublesome, but relatively easy. After proficiency, they can directly calculate in polar coordinate system.

According to rho? =x？ +y？ ，x=ρ cosθ，y=ρ sinθ

ρ=2 The square of both sides of the equation is ρ? =4, the equation in rectangular coordinate system is x? +y？ =4 ( 1),

ρ=2√2cos(θ-π/4) The equation developed to the right is ρ=2(sinθ+cosθ), which is converted into (x- 1) in rectangular coordinate system? +(y- 1)？ =2 (2)。

Solve the two intersections (0,2) and (2,0) of the equations (1) and convert them into polar coordinates (2,π/2) and (2,0).