1.

`cot^(-1)(-1/2)+cot^(-1)(-1/3)` is equal toA. `(3pi)/4`B. `(5pi)/4`C. `(pi)/4`D. `(-3pi)/4`

Answer» Correct Answer - B
`pi-cot^(-1)(1/2)+pi-cot^(-1)(1/3)`
`2pi-[cot^(-1)(1/2)+cot^(-1)(1/3)]`
`=pi+tan^(-1)(1/2)+tan^(-1)(1/3)`
`=pi+"tan"^(-1) [(1//2+1//3)/(1-1//6)]=pi+(pi)/4=(5pi)/4`


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