InterviewSolution
Saved Bookmarks
| 1. |
Let `tanx-tan^2x >0`and `|2s inx| npi,n in Z`(b) `x > npi-pi/6,n in Z``xA. `x gt npi, n in Z`B. `x gt npi-pi//6, n in Z`C. `x lt n pi-pi//4, n in Z`D. `x lt npi+pi//6, n in Z` |
|
Answer» Correct Answer - A::D `tan x-tan^(2) x gt 0` or `tan x(tan x-1) lt 0` or `0 lt tan x lt 1` or `0 lt x lt pi//4` `rArr n pi lt x lt n pi+pi//4, n in Z` (generalizing) `|sin x| lt 1/2 rArr -1/2 lt sin x lt 1/2` `rArr -pi//6 lt x lt pi//6` `rArr -pi//6+n pi lt x lt pi/66+n pi, n in Z` (generalizing) Then the common values are `npi lt x lt npi+pi//6`. |
|