How to graph r^2 = sin \theta in polar coordinates using TI-89

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SUMMARY

The discussion focuses on graphing the polar equation r² = sin(θ) using the TI-89 calculator. Users clarified that since r represents a radius in polar coordinates, it cannot be negative, thus eliminating the need to graph r = -√(sin(θ)). The correct approach involves graphing r = √(sin(θ)) for θ in the interval [0, π]. This equation represents a Lemniscate, a figure-eight shaped curve in polar coordinates.

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Bachelier
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In polar equations, how can I graph r^2= sin [tex]\theta[/tex] on TI-89?

The r is squared. I tried to graph r = sqrt(sin [tex]\theta[/tex] ) and r = -sqrt(sin [tex]\theta[/tex] ) separately on [0, [tex]\pi[/tex] ], however I am not sure this is the correct answer?

thx
 
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Hi Bachelier! :smile:

(have a theta: θ and a pi: π and a square-root: √ and try using the X2 tag just above the Reply box :wink:)

(I don't know anything about the TI-89, but … )

If this r and θ are the usual polar coordinates, then r can't be negative, and so you don't need r = -√(sinθ). :wink:
 
the formula in polar coordinates is that of a Lemniscate:

r squared equals sin (theta)

I am used to graphing R, not R squared.
 

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