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Define: tan^(-1)((3x-x^(3))/(1-3x^(2))) ...

Define: `tan^(-1)((3x-x^(3))/(1-3x^(2)))` in terms of `tan^(-1)x`

Text Solution

Verified by Experts

The correct Answer is:
`tan^(-1)((3x-x^(3))/(1-3x^(2)))={(3tan^(-1)x,;,-1/(sqrt(3))ltxlt1/(sqrt(3))),(pi+3tan^(-1)x,;,-ooltxlt-1/(sqrt(3))),(-pi+3tan^(-1)x,;,1/(sqrt(3))ltxltoo):}`
NA
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