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Byju's Answer
Standard XII
Mathematics
Domain
If 0 < β < ...
Question
If
0
<
β
<
α
<
π
4
,
cos
(
α
+
β
)
=
3
5
and
cos
(
α
−
β
)
=
4
5
then
sin
2
α
is equal to
A
1
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B
0
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C
2
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D
none of these
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Solution
The correct option is
A
1
cos
(
α
+
β
)
=
3
5
⇒
sin
(
α
+
β
)
=
4
5
cos
(
α
−
β
)
=
4
5
⇒
sin
(
α
−
β
)
=
3
5
sin
(
α
+
β
)
+
sin
(
α
−
β
)
cos
(
α
+
β
)
+
cos
(
α
−
β
)
=
4
5
+
3
5
3
5
+
4
5
⇒
2
sin
α
cos
β
2
cos
α
cos
β
=
1
⇒
tan
α
=
1
sin
2
α
=
2
tan
α
1
+
tan
2
α
=
2
1
+
1
=
1
Suggest Corrections
0
Similar questions
Q.
If
cos
(
α
+
β
)
=
3
5
,
sin
(
α
−
β
)
=
5
13
and
0
<
α
,
β
<
π
4
,
then
tan
(
2
α
)
is equal to:
Q.
If
sin
4
α
+
4
cos
4
β
+
2
=
4
√
2
sin
α
cos
β
;
α
,
β
∈
[
0
,
π
]
, then
cos
(
α
+
β
)
−
cos
(
α
−
β
)
is equal to :
Q.
If
0
<
α
,
β
<
π
4
,
cos
(
α
+
β
)
=
4
5
,
sin
(
α
−
β
)
=
5
13
, then
tan
2
α
=
Q.
Let
cos
(
α
+
β
)
=
4
5
and
sin
(
α
−
β
)
=
5
13
, where
0
≤
α
,
β
≤
π
4
, then
tan
2
α
is equal to
Q.
If
cos
(
α
+
β
)
=
4
5
,
sin
(
α
−
β
)
=
5
13
and
α
,
β
lie between 0 and
π
4
, then
tan
2
α
=
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