If \( \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi \), then
\( \mathr...
If \( \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi \), then
\( \mathrm{P} \)
(a) \( x^{2}+y^{2}+z^{2}+2 x y z=1 \)
W
(b) \( 2\left(\sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z\right)=\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z \)
(c) \( x y+y z+z x=x+y+z-1 \)
(d) \( \left(x+\frac{1}{x}\right)+\left(y+\frac{1}{y}\right)+\left(z+\frac{1}{z}\right) \geq 6 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-03-21 | Let \( t_{1}=\left(\sin ^{-1} x\right)^{\sin ^{-1} x}, t_{2}=\left(... |
| 2023-03-21 | Let \( f: R \rightarrow\left(0, \frac{2 \pi}{3}\right] \) defined a... |
| 2023-03-21 | If \( 0\cos ^{-1} x1 \) and \( 1+\sin \left(\cos ^{-1} x\right)+\si... |
| 2023-03-21 | Let \( S \) denotes the set consisting of four functions and \( S=\... |
| 2023-03-21 | For \( x, y, z, t \in R, \sin ^{-1} x+\cos ^{-1} y+\sec ^{-1} z \ge... |
| 2023-03-21 | For \( x, y, z, t \in R, \sin ^{-1} x+\cos ^{-1} y+\sec ^{-1} z \ge... |
| 2023-03-21 | Which of the following pairs(s) of function is(are) identical?
\( \... |
| 2023-03-21 | Let \( f(x)=\tan ^{-1}\left(\frac{(x-2)}{x^{2}+2 x+2}\right) \), th... |
| 2023-03-21 | Let \( S \) denotes the set consisting of four functions and \( S=\... |
| 2023-03-21 | Let \( S \) denotes the set consisting of four functions and \( S=\... |
| 2023-03-21 | If \( \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi \), then
\( \mathr... |
| 2023-03-21 | Let \( \alpha=3 \cos ^{-1}\left(\frac{5}{\sqrt{28}}\right)+3 \tan ^... |
| 2023-03-21 | Which one of the following function contains only one integer in it... |
| 2023-03-21 | If range of the function \( f(x)=\tan ^{-1}\left(3 x^{2}+b x+3\righ... |
| 2023-03-21 | Number of values of \( x \) satisfying simultaneously \( \sin ^{-1}... |
| 2023-03-21 | Match the statement of Column I with values of Column
II
\( \mathrm... |
| 2023-03-21 | Consider a \( \triangle A B C \). A directly similar \( \triangle A... |
| 2023-03-21 | Number of solution(s) of the equations
P \( \cos ^{-1}(1-x)-2 \cos ... |
| 2023-03-21 | Le \( f: R \rightarrow\left[0, \frac{\pi}{2}\right) \) be defined b... |
| 2023-03-21 | The value of \( \sin ^{-1}\left\{\left(\sin \frac{\pi}{3}\right) \f... |
| 2023-03-21 | The solution set of the equation
\[
\sin ^{-1} \sqrt{1-x^{2}}+\cos ... |
0