Intersection points of the graph its solutions?

In summary, we are given two graphs in polar form, f(theta) = 2sin(theta) - 1 and g(theta) = 3cos(theta)+2, and we are asked to find the intersection points and a function that has those points as solutions. To find the intersection points, we can graph the two equations and find where they intersect. The solution points will have a position vector making a THETA angle with the x-axis. To find this angle, we can solve the two equations simultaneously and find the angle(s).
  • #1
yourmom98
42
0
The graphs of f(theta) = 2sin(theta) - 1 , and g(theta) = 3cos(theta)+2 are given.
What equation would have the intersection points of the graph its solutions?


ummm... what does this mean? and how do i solve it?
 
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  • #2
Find the intersection points of f(t) and g(t) and find a function that has those points as solutions (zeros).
 
  • #3
i still don't understand i can find the points where f(t) and g(t) intersect by graphing (how do i do this by graphing?) but what do you mean by having same points as zeros?
 
  • #4
Both of these are the equations of graphs in their polar form.These graph would intersect at some particular point whose position vector will make some THETA angle with the x-axis.To find this particular THETA , solve the above two equations simultaneusly by equation f(Q) and g(Q) and then finding the angle(s).

BJ
 

1. What are intersection points of a graph?

Intersection points of a graph are points where two or more lines or curves on a graph intersect or cross each other. These points represent the values where the equations of the lines or curves are equal.

2. How do you find the intersection points of a graph?

The intersection points of a graph can be found by solving the equations of the lines or curves at the point where they intersect. This can be done by setting the equations equal to each other and solving for the variables.

3. Can a graph have more than two intersection points?

Yes, a graph can have multiple intersection points. The number of intersection points depends on the number of lines or curves on the graph and how they are positioned in relation to each other.

4. What do intersection points represent in a real-world context?

In a real-world context, intersection points can represent solutions to systems of equations or the points where two objects or paths intersect in space.

5. Is it possible for a graph to have no intersection points?

Yes, it is possible for a graph to have no intersection points. This can occur if the lines or curves on the graph never intersect or if they are parallel to each other.

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