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Question: Answered & Verified by Expert
The value of $\sin ^{2} 51^{\circ}+\sin ^{2} 39^{\circ}$ is
MathematicsComplex NumberKCETKCET 2020
Options:
  • A 1
  • B 0
  • C $\sin 12^{\circ}$
  • D $\cos 12^{\circ}$
Solution:
1151 Upvotes Verified Answer
The correct answer is: 1
We have,
$\begin{aligned}
&\sin ^{2} 51^{\circ}+\sin ^{2} 39^{\circ} \\
&\sin ^{2} 51^{\circ}+\sin ^{2}\left(90^{\circ}-51^{\circ}\right) \\
&\sin ^{2} 51^{\circ}+\cos ^{2} 51^{\circ}=1
\end{aligned}$

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