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Given that , tan^(-1) ((2x)/(1-x^(2)))...

Given that ,
`tan^(-1) ((2x)/(1-x^(2))) = {{:(2 tan^(-1) x"," |x| le 1),(-pi +2 tan^(-1)x","x gt 1),(pi+2 tan^(-1)x"," x lt -1):}`
`sin^(-1)((2x)/(1+x^(2))) ={{:(2 tan^(-1)x","|x|le1),(pi -2 tan^(-1)x","x gt 1 and ),(-(pi+2tan^(-1))","x lt -1):}`
`sin^(-1) x + cos^(-1) x = pi//2 " for " - 1 le x le 1`
If `cos^(-1). (6x)/(1 + 9x^(2)) = - pi/2 + 2 tan^(-1) 3x" , then " x in `

A

`(1/3 , infty)`

B

`(-1, infty)`

C

`(- infty, m -1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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