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solve the equation cot^-1 x + tan^-1 3 =...

solve the equation `cot^-1 x + tan^-1 3 = pi/2`

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Verified by Experts

The correct Answer is:
`x =3`
`cot^(-1) x tan^(-1) 3 = (pi)/(2)`
`rArr cot^(-1) x = (pi)/(2) - tan^(-1) 3`
`rArr cot^(-1) x = cot^(-1) 3`
`:. x = 3`
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