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Mathematics
Problem
If the value of
3
cos
36
∘
+
5
sin
18
∘
5
cos
36
∘
−
3
sin
18
∘
\frac{3\cos 36^\circ + 5\sin 18^\circ}{5\cos 36^\circ - 3\sin 18^\circ}
5
c
o
s
3
6
∘
−
3
s
i
n
1
8
∘
3
c
o
s
3
6
∘
+
5
s
i
n
1
8
∘
is
a
5
−
b
c
\frac{a\sqrt{5} - b}{c}
c
a
5
−
b
, where a, b, c are natural numbers and
gcd
(
a
,
c
)
=
1
\gcd(a, c) = 1
g
cd
(
a
,
c
)
=
1
, then a + b + c is equal to : [April 8, 2024 (II)] (a) 50 (b) 40 (c) 52 (d) 54
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