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Question

Find the value of x, if 5 tan1 x + 2 cot1 x = 2π.

A
1
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B
3
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C
13
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D
0
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Solution

The correct option is B 3
5 tan1 x + 2 cot1 x = 2π
3 tan1 x + 2 (tan1 x + cot1 x) = 2π
We know thattan1 x + cot1 x = π23 tan1 x + 2×π2 = 2π3 tan1 x = πtan1 x = π3 x = tan π3 x = 3.






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