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The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph. [-5, 5] by [-5, 5]
a. r = 2 - 2 sin θ
b. r = 3 - 2 sin θ
c. r = 2 + 2 sin θ
d. r = 1 - 3 sin θ

The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph. [-5, 5] by [-5, 5] a. r = 2 - class=

Answer :

frika

Answer:

A

Step-by-step explanation:

A limacon curve passes trough the point [tex]\left(\dfrac{\pi}{2},0\right)[/tex], this means when [tex]\theta =\dfrac{\pi}{2},[/tex] the distance [tex]r=0.[/tex]

Note that

[tex]\sin \dfrac{\pi}{2} =1,[/tex]

so, if [tex]r=a+b\sin \theta,[/tex]

then

[tex]r\left(\dfrac{\pi}{2}\right)=a+b=0\\ \\a=-b[/tex]

The only option which shows a = -b is option A.

Answer:

b

Step-by-step explanation:

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