✓ Board-verified
Mathematics · 2026 · 2 marks
Inverse Trigonometric FunctionsProperties of Inverse Trigonometric Functions2 marksApplyvery short answer
CBSE 2026 · Region 5 · Set 1 · Q21
Evaluate sin [ tan^-1 tan ((3 π)/4)].
Evaluate $\displaystyle \sin \left[\tan ^{-1} \tan \left(\frac{3 \pi}{4}\right)\right]$.
Marking-scheme solution
Given expression $\displaystyle =\sin\left[\tan^{-1}(-1)\right]$ or $\displaystyle \sin\left[\tan^{-1} \tan\left(\pi-\dfrac{\pi}{4}\right)\right]$
$\displaystyle =\sin\left(-\dfrac{\pi}{4}\right)$
$\displaystyle =-\dfrac{1}{\sqrt{2}}$
All Inverse Trigonometric Functions questions2026 question paperNCERT solutions: Inverse Trigonometric FunctionsPractice Inverse Trigonometric Functions →
More from Inverse Trigonometric Functions
- Find the domain of g(x)= cos^-1(x^2-1). Hence, find the value of x for which g(x)=(π)/3. Also, write the range of cos^-1 x other than its principal…2026
- The principal value of cot^-1(-1/(√3)) is:2025
- 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]. Also, write its range. 22023
- The principal value of sec^-1(√2)+2 cosec^-1(-√2) is:2026
- Assertion: Maximum value of ( cos^-1 x)^2 is π^2. Reason (R): Range of the principal value branch of cos^-1 x is [(-π)/2, (π)/2].2023
- The value of cos ((π)/6+ cot^-1(-√3)) is2025
- Find the value of [ sin^2{ cos^-1(3/5)}+ tan^2{ sec^-1(3)}].2024
- Write the domain and range (principle value branch) of the following functions: f(x)= tan^-1 x2023
CBSE Class 12 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.