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Byju's Answer
Standard XII
Mathematics
General Solution of Trigonometric Equation
Prove that c...
Question
Prove that
cos
2
α
+
cos
2
β
+
cos
2
α
+
1
=
0
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Solution
cos
2
x
α
+
cos
2
β
+
cos
2
γ
+
1
=
0
a
s
w
e
k
n
o
w
cos
2
A
=
2
cos
2
A
−
1
cos
2
α
+
cos
2
β
+
cos
2
γ
=
1
n
o
w
,
L
H
S
cos
2
α
+
c
i
=
c
o
s
2
β
+
cos
2
γ
+
1
2
cos
2
α
−
1
+
2
cos
2
β
−
1
+
2
cos
2
γ
−
1
+
1
2
(
cos
2
α
+
cos
2
β
+
cos
2
γ
)
−
3
+
1
2
×
1
−
2
2
−
2
0
h
e
n
c
e
p
r
o
v
e
d
.
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Q.
If
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If a line makes angles
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