1
Question
The complete solution set of the inequality [cos−1x]2−6[cot−1x]+≤0, where [.] denotes the greatest integer function, is :
The complete solution set of the inequality [cos−1x]2−6[cot−1x]+≤0, where [.] denotes the greatest integer function, is :
Open in App
Solution
The correct option is A (−∞,cot3]
[cos−1x]2−6[cot−1x]+9≤0
⇒([cot−1x]−3)2≤0⇒[cot−1x]=3⇒3≤cot−1x<4⇒3≤cot−1x<π⇒−∞<x≤cot3⇒xϵ(−∞,cot3]
[cos−1x]2−6[cot−1x]+9≤0
⇒([cot−1x]−3)2≤0⇒[cot−1x]=3⇒3≤cot−1x<4⇒3≤cot−1x<π⇒−∞<x≤cot3⇒xϵ(−∞,cot3]
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
