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Mathematics
Problem
Let
S
=
sin
2
35
∘
+
sin
2
55
∘
S=\sin^{2}35^{\circ}+\sin^{2}55^{\circ}
S
=
sin
2
3
5
∘
+
sin
2
5
5
∘
. Which of the following is true? a)
S
>
1
S>1
S
>
1
b)
S
=
2
3
\displaystyle S=\tfrac{2}{3}
S
=
3
2
c)
S
=
1
S=1
S
=
1
d)
S
=
2
S=2
S
=
2
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