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If x<0 , then write the value of cos^...

If `x<0` , then write the value of `cos^(-1)((1-x^2)/(1+x^2))` in terms of `tan^(-1)x`

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The correct Answer is:
`cos^(-1)(1x^(2))/(1+x^(2))=[(2 tan^(-1)x,"if",xge0),(-2 tan^(-1)x,"if",xlt0):}`
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