please make graph of r=4 cos 3 theta with full explanation of how to make it
Answers
Answered by
4
Answer:
See graph and explanation.
Explanation:
Using
(
x
,
y
)
=
r
(
cos
θ
,
sin
θ
)
,
r
=
√
x
2
+
y
2
and
cos
n
θ
=
∑
(
−
1
)
r
n
C
2
r
cos
n
−
2
r
θ
sin
2
r
θ
,
r from 0 to
[
n
2
]
(integer part of n/2).
the equation in Cartesian form for
r
=
a
cos
n
θ
can be obtained.
Here, n = 3 and the Cartesian equation is
#( x^2 +y^2 )^2 = 4 (x^3 - 3 x y^2),
The Socratic graph is immediate.
graph{( x^2 +y^2 )^2 - 4 (x^3 - 3 xy^2)=0[-8 8 -4 4]}
i hope it's helpful 4 u
mark on brillent ans
Answered by
5
hey dude
incomplete question
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