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EAMCET Engineering 2005 Solved Paper
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© examsnet.com
Question : 107
Total: 160
A
+
B
=
C
⇒
cos
2
A
+
cos
2
B
+
cos
2
C
−
2
cos
A
cos
B
cos
C
is equal to
1
2
0
3
Validate
Solution:
Given that,
A
+
B
=
C
Now,
cos
2
A
+
cos
2
B
+
cos
2
C
=
1
+
cos
2
A
2
+
1
+
cos
2
B
2
+
cos
2
C
=
1
+
1
2
(
cos
2
A
+
cos
2
B
)
+
cos
2
C
=
1
+
2
2
[
cos
(
A
+
B
)
cos
(
A
−
B
)
]
+
cos
2
C
=
1
+
cos
C
[
cos
(
A
−
B
)
+
cos
(
A
+
B
)
]
=
1
+
2
cos
C
cos
B
cos
A
⇒
cos
2
A
+
cos
2
B
+
cos
2
C
−
2
cos
A
cos
B
cos
C
=
1
© examsnet.com
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