InterviewSolution
Saved Bookmarks
| 1. |
Iflog_("sin"(pi)/(4)) sin x gt 0 , x in [ 0. 4pi). Themfind the region of x satisfying the inequality . |
|
Answer» Solution :We have , ` log_("sin"(pi)/(4)) sin x gt 0 ` `rArr log_((1)/(sqrt(2))) sin x gt 0 ` ` rArr (sin x ) LT ((1)/(sqrt(2)))^(0) as 0 lt (1)/(sqrt(2)) lt 1` `rArr (sin x) lt 1 "but sin" x gt 0 ` ` rArr 0 lt sin x lt 1 ` `rArr x in (,(pi)/(2)) cup((pi)/(2) , pi)cup(2pi, (5pi)/(2)) cup ((5pi)/(2) ,3pi)`. |
|