Prove that: `tan^(-1)2/(11)+tan^(-1)7/(24)=tan^(-1)1/2`

1.	Prove that: `tan^(-1)2/(11)+tan^(-1)7/(24)=tan^(-1)1/2`
Answer» `LHS=tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)` `=tan^(-1)""((2)/(11)+(7)/(24))/(1-(2)/(11)xx(7)/(24))` `tan^(-1)""((48+77)/(264))/((264-14)/(264))=tan^(-1)""(125)/(250)` `tan^(-1)""(1)/(2)=` RHS Hence Proved.

Discussion

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