CBSE 2024 · Region 3 · Set 3 · Q22 · 2 marks
Evaluate : \[\cot ^{2}\left\{\operatorname{cosec}^{-1} 3\right\}+\sin ^{2}\left\{\cos ^{-1}\left(\frac{1}{3}\right)\right\} \]
Marking-scheme solution
$$\begin{aligned}
& {\left[\operatorname{cosec} e^{2}\left(\operatorname{cosec} e^{-1} 3\right)-1\right]+\left[1-\cos ^{2}\left(\cos ^{-1} \frac{1}{3}\right)\right]} \\
& =(9-1)+\left(1-\frac{1}{9}\right) \\
& =\frac{80}{9}
\end{aligned}
$$
Inverse Trigonometric FunctionsProperties of Inverse Trigonometric FunctionsApplyvery_short_answermedium
More from Inverse Trigonometric Functions
- The principal value of cot^-1(-1/(√3)) is:2025 · asked 3×
- Evaluate sin^-1( sin (3 π)/4)+ cos^-1( cos π)+ tan^-1(1) OR Draw the graph of cos^-1 x, where x ∈[-1,0].…2023 · asked 3×
- The principal value of sec^-1(√2)+2 cosec^-1(-√2) is:2026 · asked 3×
- Assertion: Maximum value of ( cos^-1 x)^2 is π^2. Reason (R): Range of the principal value branch of cos^-1 x…2023 · asked 3×
- If a function f: X → Y defined as f(x)=y is one-one and onto, then we can define a unique function g: Y → X…2024 · asked 3×
- Simplify sin^-1( x√1+x^2). OR Find domain of sin^-1 √x-1.2025 · asked 3×
- Domain of f(x)= cos^-1 x+ sin x is:2025 · asked 3×
- Assertion: Domain of y= cos^-1(x) is [-1,1]. Reason (R): The range of the principal value branch of y=…2024 · asked 3×
CBSE Class 12 Mathematics past-paper question from the 2024board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.