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Question

Solution of tan12x1x2+cot11x22x=2π3 are

A
13
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B
3
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C
3+2
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D
32
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Solution

The correct option is A 13
Given,
tan12x1x2+cot11x22x=2π3
or, tan12x1x2+tan12x1x2=2π3
or, 2tan1x+2tan1x=2π3
or, 4tan1x=2π3
or, tan1x=π6
or, x=13.

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