Inverse Trigonometric Function · Mathematics · Class 12
MCQ (Single Correct Answer)
1
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 $[0, \pi]-\left\{\frac{\pi}{2}\right\}$
CBSE 12th Mathematics Delhi Set 1 - 2024
2
$$\sin \left[\frac{\pi}{3}+\sin ^{-1}\left(\frac{1}{2}\right)\right]$$ is equal to:
CBSE 12th Mathematics Delhi Set 1 - 2023
Subjective
1
Find value of $k$ if $\sin ^{-1}\left[k \tan \left(2 \cos ^{-1} \frac{\sqrt{3}}{2}\right)\right]=\frac{\pi}{3}$.
CBSE 12th Mathematics Delhi Set 1 - 2024
2
Write the domain and range (principle value branch) of the following functions: $$f(x)=\tan ^{-1} x$$
CBSE 12th Mathematics Delhi Set 1 - 2023