Question

Evaluate :-
$\sf \dfrac{ {sin}^{2} 63 + {sin}^{2}27 }{cos {}^{2} 17 + {cos}^{2} 73}$
‏‏‎ ‎
‏‏‎ ‎
Please write an appropriate answer and please don't give irrelevant answers.
Don't spam please ​

Answer 1

Question

Evaluate :-

$\sf \dfrac{ {sin}^{2} 63 + {sin}^{2}27 }{cos {}^{2} 17 + {cos}^{2} 73}$

$\begin{gathered} \\ \end{gathered}$

$\large{\underline{\underline{\sf \purple{ Answer }}}}$

$\begin{gathered} \frac{ { \sin }^{2}63 + { \sin }^{2}27 }{ { \cos }^{2} 17 + { \cos }^{2}73 } \\ \\ \frac{ \sin^{2}63 + { \sin}^{2}72 }{ \cos^{2} 17 + { \cos }^{2} 73 } \\ \\ \frac{ \sin ^{2} (90 - 27) + { \sin }^{2}27 }{ { \cos }^{2} (90 - 73) + ( { \cos }^{2} 73)} \\ \\ \frac{ { \cos }^{2}27 + { \sin}^{2} 27 }{ { \sin }^{2}73 + { \cos}^{2} 73 } \\ \\ = \frac{1}{1} \\ \\ = 1\end{gathered}$

$\begin{gathered} \\ \end{gathered}$

Hence,

$\begin{gathered} \frac{ { \sin}^{2} 65 + { \sin }^{2}27 }{ { \sin }^{2}17 + { \sin }^{2} 73} = 1 \\ \\ \end{gathered}$

$\begin{gathered} \\ \end{gathered}$

$\tiny\tt{ hope \: it's \: helps \: don't \: report }$

Answer 2

Evaluate :-

$\sf \dfrac{ {sin}^{2} 63 + {sin}^{2}27 }{cos {}^{2} 17 + {cos}^{2} 73}$

$\begin{gathered}\begin{gathered} \\ \end{gathered}\end{gathered}$

$\large{\underline{\underline{\sf \red{ Answer }}}}$

$\begin{gathered}\begin{gathered} \frac{ { \sin }^{2}63 + { \sin }^{2}27 }{ { \cos }^{2} 17 + { \cos }^{2}73 } \\ \\ \frac{ \sin^{2}63 + { \sin}^{2}72 }{ \cos^{2} 17 + { \cos }^{2} 73 } \\ \\ \frac{ \sin ^{2} (90 - 27) + { \sin }^{2}27 }{ { \cos }^{2} (90 - 73) + ( { \cos }^{2} 73)} \\ \\ \frac{ { \cos }^{2}27 + { \sin}^{2} 27 }{ { \sin }^{2}73 + { \cos}^{2} 73 } \\ \\ = \frac{1}{1} \\ \\ = 1\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \\ \end{gathered}\end{gathered}$

Hence,

$\begin{gathered}\begin{gathered} \frac{ { \sin}^{2} 65 + { \sin }^{2}27 }{ { \sin }^{2}17 + { \sin }^{2} 73} = 1 \\ \\ \end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \\ \end{gathered}\end{gathered}$

________________________________

Done..!

@Itzlovely16♡~