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Mathematics
Problem
Evaluate :
(
cos
47
∘
sin
43
∘
)
2
+
(
sin
72
∘
cos
18
∘
)
2
−
2
cos
2
45
∘
\left(\frac{\cos 47^\circ}{\sin 43^\circ}\right)^2 + \left(\frac{\sin 72^\circ}{\cos 18^\circ}\right)^2 - 2 \cos^2 45^\circ
(
sin
4
3
∘
cos
4
7
∘
)
2
+
(
cos
1
8
∘
sin
7
2
∘
)
2
−
2
cos
2
4
5
∘
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