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I am trying to graph: r²= sinθ in Polar mode.
The discussion focuses on graphing the polar equation r² = sin(θ) using TI-83 or TI-84 graphing calculators. Users confirm the necessity of switching to Polar Graphing Calculator (GC) mode instead of Rectangular GC mode. The primary challenge arises from the calculator's limitation to graph only positive values of r, which restricts the representation of the lemniscate to half of its form. To fully graph the lemniscate, users suggest employing both r = √(sin(θ)) and r = -√(sin(θ)) simultaneously, particularly when θ is between π and 2π.
PREREQUISITESStudents, educators, and math enthusiasts interested in graphing polar equations, particularly those using TI-83 or TI-84 calculators and exploring lemniscates.
DMOC said:Did you change your calculator to use Polar GC and not Rect GC (assuming you're using a TI-83 or 84).
Office_Shredder said:It should only graph half. If theta is between pi and 2pi, sin(theta) is negative and no value of r will square to a negative number.
EDIT: Unless you allow negative r for a value of theta between pi and 2pi. In which case there's probably no way to graph this on your graphing calculator with a single equation