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Question

The principal value of tan1[2cos[2sin112]] is

A
π3
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B
π2
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C
π4
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D
π6
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Solution

The correct option is C π4
tan1[2cos[2sin112]]
=tan1[2cos[2π6]]
=tan1[2cosπ3]
=tan1[212]
=tan11
=π4

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