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 = ?
"Points of Intersection" refer to the points where two or more lines, curves, or surfaces intersect. These points represent the common solution or shared characteristics between the intersecting elements.
In science, "Points of Intersection" are important because they allow us to identify and study the relationships between different variables and systems. They can also help us make predictions and understand the behavior of complex systems.
The calculation of "Points of Intersection" depends on the type of elements being intersected. For example, the intersection of two lines can be found by solving their equations simultaneously, while the intersection of a line and a curve can be found by substituting the equation of the line into the equation of the curve.
In physics, "Points of Intersection" can represent the equilibrium point between two forces acting on an object. In biology, they can represent the point where two species share a common habitat. In chemistry, they can represent the point where two reactants come together to form a product.
"Points of Intersection" are closely related to other mathematical concepts such as equations, graphs, and coordinates. They also play a role in fields like geometry, calculus, and statistics, where they are used to solve problems and make connections between different mathematical concepts.