Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The range of the function f (x) = sin − 1 
+ cos − 1 
, where [ ] is the greatest integer function, is:
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
{ π }
Sol. f(x) = sin –1 
+ cos –1 
Domain : –1 ≤ 
≤ 1 ⇒ x ∈ 
and – 1 ≤ 
≤ 1 ⇒ x ∈ 
⇒ domain is x ∈ 
or x 2 ∈ 
if (i) x 2 ∈ 
, then f(x) = π
if (ii) x 2 ∈ 
, then f(x) = π
if (iii) x 2 ∈ 
, then f(x) = π ⇒ range = { π }
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