draw graph for that
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Answer:
When
θ
=
0
,
π
2
,
π
,
3
π
2
,
2
π
, we have
r
=
1
and when
θ
=
π
4
,
3
π
4
,
5
π
4
,
7
π
4
, we have
r
=
0
Hence, the courve moves from
r
=
1
at
θ
=
0
to
r
=
0
at
θ
=
π
4
to
r
=
1
at
θ
=
π
2
. Note that in between at
θ
=
π
6
we have
r
=
1
2
and so on forming four petals. That is why it is called rose curve as well.
The shape appears as shown below.
desmos.com
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