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If tan - 1 ⁡ x π ≤ π 6 , then the maximum value of 3 x is (Use   π = 3 . 14 )

Correct answer

3.14

Step-by-step solution

We have tan - 1 ⁡ x π ≤ π 6 ⇒ tan ⁡ tan - 1 ⁡ x π ≤ tan ⁡ π 6 ⇒ x π ≤ 1 3 ⇒ x ≤ π 3 ∴ the maximum value of 3 x is π

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