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Mathematics
Mathematics
Problem
In
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, if
sin
A
3
=
cos
B
3
=
tan
C
2
\frac{\sin A}{3} = \frac{\cos B}{3} = \frac{\tan C}{2}
3
s
i
n
A
=
3
c
o
s
B
=
2
t
a
n
C
, then the value of
(
sin
A
cot
2
A
+
cos
B
cot
2
B
+
tan
C
cot
2
C
)
\left( \frac{\sin A}{\cot 2A} + \frac{\cos B}{\cot 2B} + \frac{\tan C}{\cot 2C} \right)
(
cot
2
A
sin
A
+
cot
2
B
cos
B
+
cot
2
C
tan
C
)
is
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