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

[cos^ 1 x]^2 6[cot^ 1 x] + 9 ≤ 0 [ ⇒ ([cot^ 1 x] 3)^2 ≤ 0 amp;⇒ [cot^ 1x] = 3; ⇒ 3 ≤ cot^ 1 x lt; 4 amp;⇒ 3 ≤ cot^ 1 ...

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Domain and Range of Basic Inverse Trigonometric Functions

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Question

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

(- \infty, c o t 3]

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[c o t 3, c o t 2]

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[c o t 3, \infty]

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N o n e o f t h e s e

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

[\cdot]

x

[{cot}^{- 1} x] + 2 [{tan}^{- 1} x] = 0

[.]

({tan}^{- 1} x) ({cot}^{- 1} x) - ({tan}^{- 1} x) (1 + \frac{π}{2}) - 2 {cot}^{- 1} x + 2 (1 + \frac{π}{2}) > lim y \to - \infty [{sec}^{- 1} y - \frac{π}{2}]

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