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Byju's Answer
Standard VII
History
Battles
If in a trian...
Question
If in a triangle
A
B
C
,
θ
is the angle determined by
cos
θ
=
a
−
b
c
,
then
A
c
sin
θ
2
√
a
b
=
cos
A
−
B
2
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B
c
sin
θ
2
√
a
b
=
cos
A
+
B
2
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C
(
a
+
b
)
sin
θ
2
√
a
b
=
cos
A
−
B
2
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D
(
a
+
b
)
sin
θ
2
√
a
b
=
cos
A
+
B
2
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Solution
The correct option is
C
(
a
+
b
)
sin
θ
2
√
a
b
=
cos
A
−
B
2
1
−
sin
2
θ
=
a
2
+
b
2
−
2
a
b
c
2
⇒
c
2
−
(
a
−
b
)
2
c
2
=
sin
2
θ
⇒
c
sin
θ
2
√
a
b
=
sin
C
2
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