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Evaluate "cot"^(-1)1/9+"cot"^(-1)4/5+"co...

Evaluate `"cot"^(-1)1/9+"cot"^(-1)4/5+"cot"^(-1)1`

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`"cot"^(-1) 1/9+"cot"^(-1)4/5+"cot"^(-1)=tan^(-1)9+"tan"^(-1)5/4+cot^(-1)1`
`:'9gt0,5/4gt0` and `(9xx5/4)gt1`
`:'tan^(-1)9+"tan"^(-1)5/4+cot^(-1)1=pi+tan^(-1)((9+5/4)/(1-9 . 5/4))+cot^(-1)=pi+tan^(-1)(-1)+cot^(-1)1`
`=pi-(pi)/4+cot^(-1)1=pi`.
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