Question

If [sin^-1x] > [cos^-1x], where [.] denotes the greatest integer function, then complete set of values of x is

• A. [cos 1, 1]
• B. [sin 1,1]
• C. [cos 1, sin 1]
• D. [0, 1]

Answer 1

Answer: (B)

$sin 1,1$

Answer 2

[sin^-1x] = 0, ∀ x ∈ [0, sin 1)

= 1, ∀ x ∈ [sin 1, 1]

and [cos^-1x] =

Thus [sin^-1x] > [cos^-1x]

x ∈ [sin 1, 1]