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Question

The value of 2tan113+tan117 is

A
π4
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B
π2
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C
π
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D
none of these
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Solution

The correct option is C π4
Given, tan1(13)+tan1(13)+tan1(17)
=tan1(13)+tan1(7+3211)
=tan1(13)+tan1(1020)
=tan1(13)+tan1(12)
=tan1(561)
=tan1(1)
=π4

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