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Byju's Answer
Standard XII
Mathematics
General Solution of Trigonometric Equation
In a ABC, if ...
Question
In a
△
ABC, if
c
2
+
a
2
−
b
2
=
a
c
,
then
∠
B
=
[MP PET 1983, 89, 90]
A
π
6
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B
π
4
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C
π
3
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D
None of these
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Solution
The correct option is
C
π
3
cos B
=
c
2
+
a
2
−
b
2
2
a
c
⇒
c
o
s
B
=
1
2
i
.
e
.
,
B
=
π
3
.
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Similar questions
Q.
In a
△
ABC, if
c
2
+
a
2
−
b
2
=
a
c
,
then
∠
B
=
[MP PET 1983, 89, 90]
Q.
In
△
A
B
C
,
s
i
n
(
A
−
B
)
s
i
n
(
A
+
B
)
=
[MP PET 1986]
Q.
In any
△
A
B
C
,
1
r
2
1
+
1
r
2
2
+
1
r
2
3
+
1
r
2
is equal to