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Byju's Answer
Standard XII
Mathematics
Circular Measurement of Angle
In a ABC, t...
Question
In a
△
A
B
C
, the value of
1
−
tan
B
2
tan
C
2
=
2
a
a
+
b
+
c
is equal to
A
2
a
a
+
b
+
c
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B
2
a
+
b
+
c
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C
2
a
a
−
b
+
c
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D
None of these
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Solution
The correct option is
B
2
a
a
+
b
+
c
Now,
1
−
tan
B
2
tan
C
2
=
1
−
√
(
s
−
a
)
(
s
−
c
)
s
(
s
−
b
)
×
√
(
s
−
a
)
(
s
−
b
)
s
(
s
−
c
)
Therefore,
[
1
−
(
s
−
a
)
s
]
=
2
a
a
+
b
+
c
....(From given)
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In triangle ABC,
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−
t
a
n
B
2
.
t
a
n
C
2
is equal to