Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If x ≥ 0 and θ = 
, then
A
≤ θ ≤ 
B
0 ≤ θ ≤ 
C
0 ≤ θ < 
D
≤ θ ≤ 
Text Solution
Verified by ExpertsThe correct answer is:
D
θ = sin –1 x + cos –1 x – tan –1 x = 
– tan –1 x
Domain x ∈ [–1, 1] But given x ≥ 0
⇒ x ∈ [0, 1] ⇒θ = 
– tan –1 x = cot –1 x
for x ∈ [0, 1] ⇒ 
≤ θ ≤ 
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