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Question

If cot-1(x)+tan-1(3)=π2, then x=


A

13

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B

14

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C

3

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D

4

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Solution

The correct option is C

3


Find the value of x:

Given, cot-1(x)+tan-1(3)=π2

As we know, tan-1(x)+cot-1(x)=π2

x=3

Alternatively,

cot-1(x)+tan-1(3)=π2

tan-1(3)=π2-cot-1(x)

tan-1(3)=tan-1(x)

x=3

Hence, Option ‘C’ is Correct.


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