Question

r =1+cosθ and r =1−sinθ, find their intersection points (r,θ)on0≤θ ≤2π .

Answer 1

in intersection point, the value of r will be the same on both equations,
so we can equate those two equations
1+cosθ = 1-sinθ
sinθ/cosθ = -1 -> tanθ = -1
therefore θ= 135->3π/4 ,
and 315-> 7π/4