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Byju's Answer
Standard XII
Mathematics
Sin(A+B)Sin(A-B)
Prove that: ...
Question
Prove that:
cot
(
7
1
2
o
)
=
√
2
+
√
3
+
√
4
+
√
6
.
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Solution
cot
(
15
2
)
=
cos
(
15
/
2
)
sin
(
15
/
2
)
=
2
cos
2
(
15
/
2
)
2
sin
(
15
/
2
)
cos
(
15
/
2
)
=
1
+
cos
15
°
sin
15
°
=
1
+
cos
(
45
−
30
)
°
sin
(
45
−
30
)
°
=
1
+
1
√
2
.
√
3
2
+
1
√
2
.
1
2
1
√
2
.
√
3
2
−
1
2
.
1
√
2
=
1
+
√
3
+
1
2
√
2
√
3
−
1
2
√
2
=
√
3
+
2
√
2
+
1
√
3
−
1
=
(
√
3
+
2
√
2
+
1
)
(
√
3
+
1
)
(
√
3
−
1
)
(
√
3
+
1
)
=
3
+
√
3
+
2
√
6
+
2
√
2
+
√
3
+
1
2
=
4
+
2
√
3
+
2
√
2
+
2
√
6
2
=
√
2
+
√
3
+
√
6
+
√
4
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0
Similar questions
Q.
Show that
cot
7
1
2
∘
=
√
2
+
√
3
+
√
4
+
√
6
.
Q.
Prove that, cot
7
1
2
∘
or tan
82
1
2
∘
=
(
√
3
+
√
2
)
(
√
2
+
1
)
or
√
2
+
√
3
+
√
4
+
√
6
Q.
Match List I with List II and Select the correct answer using the codes given below the lists:
List 1
List 2
Complex Ions
Magnetic Moment
Bohr magneton
a
.
[
F
e
(
C
N
)
6
]
−
4
1.
1.73
b
.
[
T
i
(
H
2
O
)
6
]
3
+
2.
5.93
c
.
[
C
r
(
H
2
O
)
6
]
3
+
3.
0.00
d
.
N
i
(
H
2
O
)
6
]
2
+
4.
2.83
e
.
[
F
e
F
6
]
−
3
5.
3.88
Codes :
Q.
Prove that:
c
o
t
7
1
∘
2
=
√
2
+
√
3
+
√
4
+
√
6
Q.
Prove that
tan
11
π
3
−
2
sin
4
π
6
−
3
4
cos
e
c
2
π
4
+
4
cos
2
17
π
6
=
3
−
4
√
3
2
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Standard XII Mathematics
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