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Problem
Problem
If
∠
A
=
45
∘
\angle A = 45^\circ
∠
A
=
4
5
∘
and in ambiguous case (
a
,
b
,
A
a, b, A
a
,
b
,
A
are given)
c
1
,
c
2
c_1, c_2
c
1
,
c
2
are two values of
c
c
c
and if
θ
\theta
θ
be the angle between the two positions of the ambiguous side
c
c
c
then
cos
θ
\cos \theta
cos
θ
is a.
c
1
c
2
c
1
2
+
c
2
2
\frac{c_1 c_2}{c_1^2 + c_2^2}
c
1
2
+
c
2
2
c
1
c
2
b.
2
c
1
c
2
c
1
2
+
c
2
2
\frac{2c_1 c_2}{c_1^2 + c_2^2}
c
1
2
+
c
2
2
2
c
1
c
2
c.
c
1
c
2
(
c
1
+
c
2
)
\frac{\sqrt{c_1 c_2}}{(c_1 + c_2)}
(
c
1
+
c
2
)
c
1
c
2
d.
2
c
1
c
2
(
c
1
+
c
2
)
\frac{2\sqrt{c_1 c_2}}{(c_1 + c_2)}
(
c
1
+
c
2
)
2
c
1
c
2
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