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JEE Main 8 Apr 2024 Shift 2 Solved Paper
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© examsnet.com
Question : 9
Total: 90
If the value of
3
cos
36
∘
+
5
s
i
n
18
∘
5
cos
36
∘
−
3
s
i
n
18
∘
is
a
√
5
−
b
c
, where
a
,
b
,
c
are natural numbers and
gcd
(
a
,
c
)
=
1
, then
a
+
b
+
c
is equal to :
[8 Apr 2024 Shift 2]
50
4
p
52
54
Validate
Solution:
👈: Video Solution
3
(
√
5
+
1
)
4
+
5
(
√
5
−
1
4
)
5
(
√
5
+
1
4
)
−
3
(
√
5
−
1
4
)
=
8
√
5
−
2
2
√
5
+
8
=
4
√
5
−
1
√
5
+
4
×
√
5
−
4
√
5
−
4
=
20
−
16
√
5
−
√
5
+
4
−
11
=
17
√
5
−
24
11
⇒
a
=
17
,
b
=
27
,
c
=
11
a
+
b
+
c
=
52
© examsnet.com
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