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Byju's Answer
Standard XII
Mathematics
Cos(A+B)Cos(A-B)
If αβ = 2 t...
Question
If
cot
α
cot
β
=
2
then
cos
(
α
+
β
)
cos
(
α
−
β
)
is equal to
A
3
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B
2
3
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C
1
3
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D
tan
α
tan
β
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Solution
The correct option is
B
1
3
Given,
cot
α
cot
β
=
2
, then
cos
(
α
+
β
)
cos
(
α
−
β
)
=
cos
α
⋅
cos
β
−
sin
α
sin
β
cos
α
⋅
cos
β
+
sin
α
⋅
sin
β
=
cot
α
⋅
cot
β
−
1
cot
α
⋅
cot
β
+
1
=
2
−
1
2
+
1
=
1
3
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1
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