The discussion focuses on finding the points of intersection for the polar equations r = 1 - cos θ and r = 1 + sin θ. The solution begins with setting the two equations equal, leading to the equation 0 = sin θ + cos θ. This simplifies to sin θ = -cos θ, which can be further analyzed by dividing both sides by cos θ. The intersection points can be determined by solving for θ in this context.
PREREQUISITESStudents studying calculus, particularly those focusing on polar coordinates, as well as educators looking for examples of solving intersection problems in trigonometry.
So sinθ = -cosθ.JRangel42 said:Homework Statement
Find all points of intersection of the given curve.
Homework Equations
r = 1 - cos θ, r = 1 + sin θ
The Attempt at a Solution
1 - cos θ = 1 + sin θ
1 = 1 + sin θ + cos θ
0 = sin θ + cos θ
After that step, I blank out and can't think about how to get any further on just looking for θ = ?