adron said:Ok, so now I have
r = (x^2 + y^2)/sqrt(cos^2 theta + sin^2 theta)
since x^2 + y^2 = 1.
Is that correct? And is that the same as r(x,y)?
A function is a mathematical relationship between a set of inputs and a set of outputs, where each input has exactly one output. Functions are often represented by equations or graphs.
Rearranging a function means to manipulate the equation or graph of the function in order to solve for a different variable or to change the format of the relationship between the inputs and outputs.
An inverse relationship is a type of function where the inputs and outputs are switched. In other words, the output becomes the input and the input becomes the output. This is also known as an inverse function.
To find the inverse of a function, you can use algebraic methods such as solving for the input variable in terms of the output variable. You can also use graphical methods by reflecting the original function over the line y=x.
Inverse relationships are commonly found in the natural world and understanding them allows scientists to make predictions and draw conclusions about the relationships between different variables. It also helps with problem-solving and finding solutions in various scientific fields such as physics, chemistry, and biology.