If \( \left[\cot ^{-1} x\right]+\left[\cos ^{-1} x\right]=0 \), where \( x \) is a non negative ...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=IROF5LI_qmo



Duration: 3:37
0 views
0


If \( \left[\cot ^{-1} x\right]+\left[\cos ^{-1} x\right]=0 \), where \( x \) is a non negative real number and \( [ \).\( ] denotes greatest integer function, then set \) of values of \( x \) is -
(a) \( (\cos 1,1] \)
(b) \( (\cot 1,1] \)
(c) \( (\cos 1, \cot 1) \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-08The range of \( f(x)=\sec ^{-1}\left(\log _{3} \cot x+\log _{\cot x} 3\right) \) is (a) \( \left...
2023-06-08The complete set of values of \( x \) for which \( 2 \tan ^{-1} x+\cos ^{-1} \) \( \left(\frac{1...
2023-06-08If \( \mathrm{a}=\sin \left(\cot ^{-1} x\right) \) and \( \mathrm{b}=\cot \left(\sin ^{-1} x\rig...
2023-06-08The true set of values of \( K \) for which \( \sin ^{-1}\left(\frac{1}{1+\sin ^{2} x}\right) ...
2023-06-08Range of the function \( f(x)=\cot ^{-1}\{-x\}+\sin ^{-1}\{x\}+ \) \( \cos ^{-1}\{x\} \), where ...
2023-06-08The maximum value of \( \sec ^{-1}\left(\frac{7-5\left(x^{2}+3\right)}{2\left(x^{2}+2\right)}\ri...
2023-06-08If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^{3}+m x^{2}+3 x+m=0 \), then t...
2023-06-08Set of values of \( x \) satisfying \( \cos ^{-1} \sqrt{x}\sin ^{-1} \sqrt{x} \) (a) \( \left(0,...
2023-06-08If \( x0 \) and \( \sin ^{-1}\left(\frac{5}{x}\right)+\sin ^{-1}\left(\frac{12}{x}\right)=\frac{...
2023-06-08\( \sum_{r=1}^{n} \tan ^{-1}\left(\frac{2^{r-1}}{1+2^{2 r-1}}\right) \) is equal to (a) \( \tan ...
2023-06-08If \( \left[\cot ^{-1} x\right]+\left[\cos ^{-1} x\right]=0 \), where \( x \) is a non negative ...
2023-06-08The set of values of \( a \) for which \( x^{2}+a x+\tan ^{-1}\left(x^{2}-4 x+5\right) \) \( +...
2023-06-08\( \tan ^{-1} x\cot ^{-1} x \) then find \( x \) (a) \( [-1,1] \) (b) \( (-\infty, \infty) \) (c...
2023-06-08If \( \cos ^{-1} p+\cos ^{-1} q+\cos ^{-1} r=\pi \). Then value of \( p^{2}+q^{2}+r^{2} \) +2 pq...
2023-06-08If \( 1x\sqrt{2} \), then number of solutions of the equation \( \tan ^{-1}(x-1)+\tan ^{-1} x+\t...
2023-06-08If \( 0x1 \), then \( \sqrt{1+x^{2}}\left[\left\{x \cos \left(\cot ^{-1} x\right)+\sin \left(\co...
2023-06-08If \( a, b, c \) be positive real numbers and the value of \( \theta=\tan ^{-1} \sqrt{\frac{a(a+...
2023-06-08Find the sum of the series, \( \tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{1}{8}+\tan ^{-1} \frac{1}...
2023-06-08Let \( f(x)=\cos ^{-1}\left(\frac{1-\tan ^{2}(x / 2)}{1+\tan ^{2}(x / 2)}\right) \) Which of the...
2023-06-08The number of solution of the equations \( 2 \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \) \( -\...
2023-06-08Let \( f(x)=e^{\cos ^{-1} \sin \left(x+\frac{\pi}{3}\right)} \) then (a) \( f\left(\frac{8 \pi}{...