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Mathematics · 2024 · 2 marks
Inverse Trigonometric FunctionsProperties of Inverse Trigonometric Functions2 marksApplyvery short answer
CBSE 2024 · Region 3 · Set 3 · Q22
Evaluate: cot^2{ cosec^-1 3}+ sin^2{ cos^-1(1/3)}
Evaluate : \[\cot ^{2}\left\{\operatorname{cosec}^{-1} 3\right\}+\sin ^{2}\left\{\cos ^{-1}\left(\frac{1}{3}\right)\right\} \]
Marking-scheme solution
$$\begin{aligned}
& {\left[\operatorname{cosec} e^{2}\left(\operatorname{cosec} e^{-1} 3\right)-1\right]+\left[1-\cos ^{2}\left(\cos ^{-1} \frac{1}{3}\right)\right]} \\
& =(9-1)+\left(1-\frac{1}{9}\right) \\
& =\frac{80}{9}
\end{aligned}
$$
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.