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Byju's Answer
Standard XII
Mathematics
Sum of Trigonometric Ratios in Terms of Their Product
In a ABC , a ...
Question
In a
â–³
A
B
C
,
(
a
+
b
+
c
)
(
t
a
n
A
2
+
t
a
n
B
2
)
is
A
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B
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C
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D
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Solution
The correct option is
A
(
a
+
b
+
c
)
(
t
a
n
A
2
+
t
a
n
B
2
)
=
2
s
(
t
a
n
A
2
+
t
a
n
B
2
)
=
2
s
(
â–³
s
(
s
−
a
)
+
â–³
s
(
s
−
b
)
)
=
2
(
â–³
(
s
−
a
)
+
â–³
(
s
−
b
)
)
=
2
â–³
(
s
−
b
+
s
−
a
(
s
−
a
)
(
s
−
b
)
)
=
2
â–³
(
c
(
s
−
a
)
(
s
−
b
)
)
=
2
c
c
o
t
C
2