To graph an equation in the polar coordinate system, for example, rθ = θ +1 with the polar Equation graphing calculator or with the Polar equation grapher, type in rθ = θ +1
To graph rθ = θ +1 for 0 < θ < π/2 type in rθ = θ +1 domain=(0, pi/2)
To type in θ use the key combination Ctrl+T or Alt+T. You can also use x instead of θ; they will be replaced by θ when you press Draw Graph or Enter on the keyboard.
Unlike the Cartesian case, because every point has infinitely many polar representations, you need to specify the interval where the angle θ lies.
If you don't specify a domain interval for θ, the graphing calculator appends (0, 2π) to the equation. It can then conveniently be modified if needed.
You can also use the key combination Ctrl+P or Alt+P for π.
Note: You can use any numeric (constant) expression such as 1.5+2e+log(10)/2 for domain end-points.
Warning: When graphing functions in polar coordinate system or when graphing parametric curves do not use very large domains as this might prolong the graphing time. Also, in these cases, do not use infinity as a domain end-point. If you do, it will be replaced by some finite values.
Note: This Equation Grapher graphs any well-defined equation (including conic sections (conic section grapher), implicitly defined functions (implicitly defined function grapher) and level curves (level curve grapher) in x and y (or in θ and r). If an equation is in the form y = f(x) or r = f(θ) (i.e., a function), use the Function Grapher instead. It graphs functions almost instantly and it's more accurate in graphing functions.