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Question

Find the value of tan1(tan(6)).

A
6
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B
π 6
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C
2π + 6
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D
2π 6
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Solution

The correct option is D 2π 6
We know that tan1(tan θ) = θ, if π2<θ<π2.Here, θ =6 radians which does not lie in the interval (π2, π2).We find that (2π 6) lies in the interval (π2, π2) such that tan (2π 6) = tan 6 = tan(6)
tan1(tan( 6)) = tan1(tan (2π 6)}= 2π 6.

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