NTA Abhyas JEE Main2020MathematicsInverse Trigonometric FunctionsPractice
Solution set of [ sin - 1 x ] > [ cos - 1 x ] , where [.] denotes the greatest integer function, is
Options
- A1 2 , 1
- B( cos 1 , sin 1 )
- C[ s i n 1 , 1 ]
- DNone of these
Correct answer
C. [ s i n 1 , 1 ]
Step-by-step solution
∵ [ sin − 1 x ] > [ cos − 1 x ] ⇒    x > 0 Here, cos - 1   x = 0 , x ∈ ( cos  1,   1 ] 1 , x ∈ ( 0 ,  cos  1 ] and sin - 1   x = 0 ,  x ∈ ( 0 ,   sin  1   ) 1 , x ∈ [ sin  1 ,   1 ] ∴    x ∈ [ sin  1,   1 ]