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Question
Solve `3tan^(-1)x + cot^(-1) x = pi`
Solution
`3tan^(-1) x + cot^(-1) x = pi`
`:. 2tan^(-1) x + tan^(-1) x + cot^(-1) = pi`
`:. 2tan^(-1) x + pi/2 = pi`
`2tan^(-1) x = pi = pi/2`
`tan^(-1) (x) = pi/2 - pi/4`
`x= tan (pi/2 - pi/4)`
x = 1
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