Saved Bookmarks
| 1. |
The value of `cos^(-1) (cos 12) - sin^(-1)(sin 14)` isA. 2B. `8pi - 26`C. `4pi + 2`D. None of these |
|
Answer» Correct Answer - B Since 1 radian ` = (7pi)/(22)` `therefore` 12 radian ` =(7pi)/(22) xx 14 = (49pi)/(11) = 4pi - (2pi)/(1)` and 14 radian ` = (7pi)/(22) xx 14 = (49pi)/(11) = 4pi + (5pi)/(11)` `therefore cos^(-1)(cos 12) - sin^(-1) (sin 14)` ` = cos^(-1) cos (4pi - (2pi)/(11))` `-sin^(-1)[sin(4pi +(5pi)/(11))]` `=cos^(-1) cos ((2pi)/(11)) - sin^(-1)(sin.(5pi)/(11))` ` = 4pi - 12 - (14 - 4pi) = 8pi - 26` |
|