The complete solution set of the inequality -cot-1x-2-6-cot-1x-9 - 0- where - denotes greatest integer function is

[cot^ 1x]^2 6[cot^ 1x]+9 ≤ 0 ⇒ ([cot^ 1x] 3)^2 ≥ 0 ∴ [cot^ 1x]=3 ⇒ 3 ≤ cot^ 1x lt;4 x ∈ ( ∞, cot3) ...

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General Solution of Trigonometric Equation

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Question

The complete solution set of the inequality $[c o t^{- 1} x]^{2} - 6 [c o t^{- 1} x] + 9 \leq 0,$ where $[.]$ denotes greatest integer function is

(- \infty, c o t 2)

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(- \infty, c o t 3)

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(c o t 2, c o t 3)

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(c o t 2, \infty)

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The complete solution set of the inequality $[c o t^{- 1} x]^{2} - 6 [c o t^{- 1} x] + 9 \leq 0,$ where $[.]$ denotes greatest integer function is

[c o s^{- 1} x]^{2} - 6 [c o t^{- 1} x] + \leq 0

The complete solution set of the inequality $[c o t^{- 1} x]^{2} - 6 [c o t^{- 1} x] + 9 \leq 0,$ where $[.]$ denotes greatest integer function is

[c o t^{- 1} x] + [c o s^{- 1} x] = 0

[\cdot]

x

{[{cot}^{- 1} x]}^{2} - 6 [{cot}^{- 1} x] + 9 \leq 0

[\cdot]

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