find the polar coordinates of points whose cartesion coordinates are -√3,1
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Answer:
Polar coordinates
(
r
,
θ
)
of rectangular coordinates
(
x
,
y
)
are given by
r
=
√
x
2
+
y
2
and
θ
=
tan
−
1
(
y
x
)
.
Hence polar coordinates of
(
−
1
,
1
)
are
(
√
(
−
1
)
2
+
1
2
,
tan
−
1
(
−
1
1
)
)
or
(
√
(
1
+
1
)
,
tan
−
1
(
−
1
)
)
or
(
√
2
,
3
π
4
)
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