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Question

If tan1x+2cot1x=2π3, then x=

A
3
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B
3
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C
2
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D
313+1
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Solution

The correct option is D 3
Given, tan1(x)+cot1(x)+cot1(x)=2π3
π2+cot1(x)=2π3
cot1(x)=π6
x=cot(π6)
x=3

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