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What is the name of the polar graph with the equation r=1+ sin theta?
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Hello, Brit412!
But Gene is correct . . . it <u>is</u> a limacon.
Limacons come in two varieties:
. . r = a ± b sinθ
. . r = a ± b cosθ
The shape is basically a circle with one side 'pulled out'
. . and the diametrically opposite side 'dimpled in'.
Think of how the moon <u>might</u> create tides on the Earth.
. . [I say "might" because this is <u>not</u> what happens with our tides.]
If a > b, the 'dimpled' side moves in toward the Pole (Origin) and moves back out.
If a = b, the 'dimpled' side moves in <u>to</u> the Pole and moves back out.
. . . This special case is call a cardiod.
If a < b, the 'dimpled side moves in <u>through</u> the Pole and forms a loop, then moves back out.
It is a cardoiod ('heart-shaped').What is the name of the polar graph with the equation r = 1+ sinθ ?
But Gene is correct . . . it <u>is</u> a limacon.
Limacons come in two varieties:
. . r = a ± b sinθ
. . r = a ± b cosθ
The shape is basically a circle with one side 'pulled out'
. . and the diametrically opposite side 'dimpled in'.
Think of how the moon <u>might</u> create tides on the Earth.
. . [I say "might" because this is <u>not</u> what happens with our tides.]
If a > b, the 'dimpled' side moves in toward the Pole (Origin) and moves back out.
If a = b, the 'dimpled' side moves in <u>to</u> the Pole and moves back out.
. . . This special case is call a cardiod.
If a < b, the 'dimpled side moves in <u>through</u> the Pole and forms a loop, then moves back out.