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Question : $\sin^2 35^{\circ}+\sin^2 55^{\circ}=$_______.

Option 1: $0$

Option 2: $1$

Option 3: $2\sin 35^\circ$

Option 4: $2\sin 55^\circ$


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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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