qablos said:Find the Cartesian Form of
r(1+sinθ)=a
I understand that:
x=rcosθ
y=rsinθ
and r2=x2+y2
I can get quite far to the point I end up with
x2=a2-2ay
I'm struggling to eliminate "a"...
Dick said:You can't eliminate a. I think you are already done.
The Cartesian form of a mathematical equation is a way of representing the equation using the coordinates of a 2D or 3D graph, with the x-axis representing the horizontal values and the y-axis representing the vertical values.
To convert an equation to Cartesian form, you need to rewrite it in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. This form is also known as the slope-intercept form.
No, not all equations can be written in Cartesian form. Only linear equations, which have a constant slope, can be written in this form. Other types of equations, such as quadratic or exponential equations, require different forms of representation.
Using Cartesian form allows for a visual representation of the equation on a graph, making it easier to analyze and understand the relationship between the variables. It also allows for easier manipulation and solving of the equation.
Cartesian form is used in various fields such as engineering, physics, and economics to model and analyze real-life situations. It helps in understanding and predicting the behavior of variables and their relationships in these situations.