Questions
a
π4,π
b
π4,π
c
π2,π
d
-π,π2
detailed solution
Correct option is A
Let θ=cot−12x−x2, where θ∈(0,π)⇒ cotθ=2x−x2, where θ∈(0,π)⇒ cotθ=1−1−2x+x2, where θ∈(0,π) ⇒cotθ=1−(1−x)2, where θ∈(0,π)⇒ cotθ≤1, where θ∈(0,π) ⇒ π4≤θ<π So, the range of f(x) is π4,π .Talk to our academic expert!
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Find the range of f(x)
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