Range of \( f(x)=\sin ^{-1} x+\tan ^{-1} x+\sec ^{-1} x \) is....

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=-zSBMxuZNMY


Duration: 3:06
0 views
0

Range of \( f(x)=\sin ^{-1} x+\tan ^{-1} x+\sec ^{-1} x \) is
\( \mathrm{P} \)
(A) \( \left(\frac{\pi}{4}, \frac{3 \pi}{4}\right) \)
(B) \( \left[\frac{\pi}{4}, \frac{3 \pi}{4}\right] \)
(C) \( \left\{\frac{\pi}{4}, \frac{3 \pi}{4}\right\} \)
(D) \( \left(\frac{\pi}{4}, \frac{3 \pi}{4}\right] \)


πŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-21Total number of ordered pairs \( (x, y) \) satisfying \( |y|=\cos x \) and \( y=\sin ^{-1}(\sin ....
2024-01-21Let the domain and range of inverse circular functions are defined as follows \begin{tabular}{|l....
2024-01-21\( \sum_{r=1}^{n} \tan ^{-1}\left(\frac{2^{r-1}}{1+2^{2 r-1}}\right) \) is equal to:....
2024-01-21Let the domain and range of inverse circular functions are defined as follows \begin{tabular}{|l....
2024-01-21If \( \sum_{i=1}^{2 n} \sin ^{-1} x_{i}=n \pi \) then find the value of \( \sum_{i=1}^{2 n} x_{i....
2024-01-21The value of \( \tan \left\{\left(\cos ^{-1}\left(-\frac{2}{7}\right)-\frac{\pi}{2}\right)\right....
2024-01-21The function \( \mathrm{f}: \mathrm{R}-\{0,1\} \rightarrow \mathrm{R} \) satisfying the function....
2024-01-21The value of \( \tan \left[\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)....
2024-01-21The value of \( \cos \left[\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)+\frac{\pi}{6}\right] \) is....
2024-01-21If \( f(x)+f\left(\frac{1}{1-x}\right)=\frac{(1-x)}{(1+x)} \) for \( x \in R-\{-1,1\} \) then th....
2024-01-21Range of \( f(x)=\sin ^{-1} x+\tan ^{-1} x+\sec ^{-1} x \) is....
2024-01-21If \( \mathrm{f}^{2}(\mathrm{x}) \cdot \mathrm{f}\left(\frac{1-\mathrm{x}}{1+\mathrm{x}}\right)=....
2024-01-21The solution of the equation \( \sin ^{-1}\left(\tan \frac{\pi}{4}\right)-\sin ^{-1}\left(\sqrt{....
2024-01-21Domain of \( f(x)=\cos ^{-1} x+\cot ^{-1} x+\operatorname{cosec}^{-1} x \) is....
2024-01-21The domain of definition of \( f(x)=\sin ^{-1}(|x-1|-2) \) is:....
2024-01-21Let \( f(x)=\cos \left(\frac{\pi}{\sqrt{3}} \sin x+\sqrt{\frac{2}{3}} \pi \cos x\right) \). Whic....
2024-01-212-Bromopentane is heated with \( \mathrm{KOH} \) in alcoholic and aqueous medium respectively. F....
2024-01-21Let \( f(x) \) and \( g(x) \) be two real polynomials of degree 2 and 1 respectively. If \( f(g(....
2024-01-21Let \( f: R \rightarrow R \) defined by \( f(x)=\cos \pi[x] \), where \( [x] \) denotes the grea....
2024-01-21Let \( g: R \rightarrow R \) defined by \( g(x)=\left\{e^{x}\right\} \), where \( \{x\} \) denot....
2024-01-21Let \( f(x)=x^{4}+a x^{3}+b x^{2}+c x+d \) where \( a, b, c, d \), \( \in \mathrm{R} \) if \( \m....