Saved Bookmarks
| 1. |
If maximum and minimum values of `|sin^(-1)x|+|cos^(-1)x|` are Mand m, then M+m isA. `pi//2`B. `pi`C. `2pi`D. `3pi` |
|
Answer» Correct Answer - C `f(x)={{:(sin^(-1)x+cos^(-1)x,,0le x le 1),(cos^(-1)x-sin^(-1)x,,-1le x le x lt 0):}` `f(x)={{:(pi//2",",0le x le 1),((pi)/(2)-2sin^(1)x",",-1le x lt 0):}` For `-1 le x le 0` `-pi//2 le sin^(-1)x le 0` `therefore -pi le 2 sin^(-1)x le 0` `therefore 0 le -2 sin^(-1)x le pi` `therefore pi//2 le pi//2 -2 sin^(-1) x le 3pi//2` `therefore` Max. value `= 3pi//2` and Min. value `= pi//2` |
|