Saved Bookmarks
| 1. |
Range of `sin^(-1)((x^(2)+1)/(x^(2)+2))` isA. `[0,(pi)/(2)]`B. `(0,(pi)/(6)`C. `[(pi)/(6),(pi)/(2))`D. None of these |
|
Answer» Correct Answer - C Here, `(x^(2)+1)/(x^(2)+2)=1-(1)/(x^(2)+2)` Now, `2 le x^(2)+2lt oo` for all x ein R `implies(1)/(2)ge (1)/(x^(2)+2)gt0` `implies -(1)/(2) le (-1)/(x^(2)+2) lt 0` `implies(1)/(2) le 1-(1)/(x^(2)+2)lt` `implies (pi)/(6) le sin^(-1)(1-(1)/(x^(2)+2))lt(pi)/(2)` |
|