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Question

The solution of the inequality (tan1x)23tan1x+20 is -

A
(,tan1][tan2,)
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B
(,tan1]
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C
(,tan1][tan2,)
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D
[tan2,)
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Solution

The correct option is A (,tan1]
(tan1x)23tan1x+20
(tan1x1)(tan1x2)0
We know that tan1x[π2,π2]
so tan1x2 (not possible) or tan1x1
x(,tan1]

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