The equivalent polar coordinates for the given rectangular coordinates. A rectangular coordinate is given as (0, -3).

Jason Farmer 2020-11-01 Answered
The equivalent polar coordinates for the given rectangular coordinates.
A rectangular coordinate is given as (0, -3).
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Expert Answer

saiyansruleA
Answered 2020-11-02 Author has 110 answers

Conversion formula for coordinate systems are given as:
a) From polar to rectangular:
x=rcosθ
y=rsinθ
b) From rectangular to polar:
r=±x2+y2
cosθ=xr;sinθ=yr;tanθ=xy
Here x=0,y=3
Converting into equivalent polar coordinates:
r=±x2+y2
r=±02+(3)2
r=±3
cosθ=xr=03=0 {Taking positive value of r}
θ=90,270
sinθ=yr=33=1
θ=270
Hence, desired equivalent polar coordinates would be (3,270)

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