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Byju's Answer
Standard VIII
Mathematics
Construction of a Quadrilateral When Other Special Properties Are Known
ntIn any tria...
Question
ntIn any triangle ABC, prove the following: a(cosB.cosC+cosA) = b(cosC.cosA+cosB) = c(cosA.cosB+cosC)n
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Similar questions
Q.
In any triangle ABC prove that identities.
In a triangle prove that
cos
A
+
cos
B
+
cos
C
>
1
but not greater than
3
/
2
.
Q.
In any triangles ABC prove the identities.
cos
A
+
cos
B
+
cos
C
=
1
+
4
sin
(
A
/
2
)
sin
(
B
/
2
)
sin
(
C
/
2
)
.
Q.
In any triangle ABC,
1
−
cos
A
+
cos
B
+
cos
C
1
−
cos
C
+
cos
A
+
cos
B
=
tan
(
A
/
2
)
tan
(
C
/
2
)
.
Q.
In any triangle ABC prove that the identities.
sin
2
A
+
sin
2
B
+
sin
2
C
cos
A
+
cos
B
+
cos
C
−
1
=
8
cos
(
A
/
2
)
cos
(
B
/
2
)
cos
(
C
/
2
)
.
Q.
For a triangle ABC, prove that
c
o
s
A
+
c
o
s
B
+
c
o
s
C
≤
3
/
2.
In case of equility, triangle will be equilateral.
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