Question : $\sin^2 35^{\circ}+\sin^2 55^{\circ}=$_______.
Option 1: $0$
Option 2: $1$
Option 3: $2\sin 35^\circ$
Option 4: $2\sin 55^\circ$
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Correct Answer: $1$
Solution :
$\sin^2 35^{\circ}+\sin^2 55^{\circ}$
$= \sin^2 35^{\circ}+\sin^2 (90-35^{\circ})$
$= \sin^2 35^{\circ}+\cos^2 35^{\circ}$
$=1$
Hence, the correct answer is $1$.
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