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Inverse Trigonometric Functions — CBSE Class 12 board PYQs

54 past board questions on Inverse Trigonometric Functions, arranged like the paper itself — objective first, long answers last, newest year first in each section. Open any question for its complete solution.

Multiple Choice3 Qs

Two statements are given, one labelled Assertion (A) and the other labelled Reason (R).
Assertion (A): Domain of $y = cos^{- 1} (x)$ is $[- 1, 1]$ .
Reason (R): The range of the principal value branch of $y = cos^{- 1} (x)$ is $[0, π] - {\frac{π}{2}}$ .
CBSE 2024View solution →
A statement of Assertion (A) is followed by a statement of Reason (R).
Assertion (A): Maximum value of $(cos^{- 1} x)^{2}$ is $π^{2}$ .
Reason (R): Range of the principal value branch of $cos^{- 1} x$ is $[- \frac{π}{2}, \frac{π}{2}]$ .
CBSE 2023View solution →
The principal value of $tan^{- 1} (tan \frac{3 π}{5})$ is
CBSE 2020View solution →

Very Short Answer19 Qs

Short Answer4 Qs

Long Answer28 Qs