Respuesta :
Answer:
The rectangular form of r=2.5sin(theta) is:
D. x^2+y^2-2.5y=0
Step-by-step explanation:
The rectangular form of r=2.5sin(theta) is x^2+y^2-2.5y=0
The given is r=2.5 sin(theta)
To determine the rectangular form.
What is the relation between polar and rectangular coordinates?
[tex]r^2=x^2+y^2[/tex]
and also we have
[tex]x=rcos \theta\\y= r \sin \theta \implies sin \theta=\frac{y}{r}[/tex]
Therefore we have
[tex]r=2.5sin \theta\\r=2.5\frac{y}{r}[/tex]
Multiply both sides by r
[tex]r^2=2.5y[/tex]
[tex]\implies x^2+y^2=2.5y[/tex]
Subtract 2.5 from both sides
[tex]x^2+y^2-2.5y=0[/tex]
Therefore option d is correct.
To learn more about the rectangular form visit:
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