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Mathematics
Mathematics
Problem
To determine the angles at which the curves
r
1
(
θ
)
=
2
+
2
sin
θ
r_1(\theta)=2+2\sin\theta
r
1
(
θ
)
=
2
+
2
sin
θ
and
r
2
(
θ
)
=
3
sin
θ
r_2(\theta)=3\sin\theta
r
2
(
θ
)
=
3
sin
θ
intersect, which of the following equations should be solved for
θ
\theta
θ
? a)
(
2
+
2
sin
θ
)
2
=
(
3
sin
θ
)
2
(2+2\sin\theta)^2 = (3\sin\theta)^2
(
2
+
2
sin
θ
)
2
=
(
3
sin
θ
)
2
b)
2
sin
θ
=
3
sin
θ
2\sin\theta = 3\sin\theta
2
sin
θ
=
3
sin
θ
c)
2
+
2
sin
θ
=
3
sin
θ
2+2\sin\theta = 3\sin\theta
2
+
2
sin
θ
=
3
sin
θ
d)
2
+
2
sin
θ
=
3
2+2\sin\theta = 3
2
+
2
sin
θ
=
3
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