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Solve for x: (i) tan^(-1)(x+1)+tan^(-1...

Solve for `x`:
(i) `tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)""8/31`
(ii) `tan^(-1)(2+x)+tan^(-1)(2-x)=tan^(-1)""2/3`
(iii) `cos(sin^(-1)x)=1/9`
(iv) `cos(2sin^(-1)x)=1/9`

Text Solution

Verified by Experts

iii) `sin^(-1)x=cos^(-1)1/9`
`=sin^(-1)(4sqrt(5))/(9)`
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