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Attempt following question by selecting a choice to answer.
c
Change the rectangular coordinates
A (2, 3)
to polar coordinates.
ccc ccc
A.
c
A(
3
, 56°)
B.
c
A(
1
3
, 56°)
C.
c
A (5, 56°)
D.
c
A (1, 56°)
cc
B
View Solution Steps
Step 1: A (2, 3) So,
x
= 2,
y
= 3[Rectangular coordinates are A (
x
,
y
).]
Step 2:
r
=
2
2
+
3
2
=
4
+
9
=
1
3
[
r
=
x
2
+
y
2
.]
Step 3: Since
r
> 0, Sin θ =
3
1
3
Sin θ = 0.8320
θ = 56°[Sin θ =
y
r
.]
Step 4: So, the polar coordinates are A(
1
3
, 56°).[Polar co-ordinates are A(
r
, θ).]
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