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Problem
Problem
The sum
1
sin
45
∘
sin
46
∘
+
1
sin
47
∘
sin
48
∘
+
1
sin
49
∘
sin
50
∘
+
⋯
+
1
sin
133
∘
sin
134
∘
\frac{1}{\sin 45^\circ \sin 46^\circ} + \frac{1}{\sin 47^\circ \sin 48^\circ} + \frac{1}{\sin 49^\circ \sin 50^\circ} + \dots + \frac{1}{\sin 133^\circ \sin 134^\circ}
s
i
n
4
5
∘
s
i
n
4
6
∘
1
+
s
i
n
4
7
∘
s
i
n
4
8
∘
1
+
s
i
n
4
9
∘
s
i
n
5
0
∘
1
+
⋯
+
s
i
n
13
3
∘
s
i
n
13
4
∘
1
is equal to a.
sec
(
1
∘
)
\sec(1^\circ)
sec
(
1
∘
)
b.
csc
(
1
∘
)
\csc(1^\circ)
csc
(
1
∘
)
c.
cot
(
1
∘
)
\cot(1^\circ)
cot
(
1
∘
)
d. None of these
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