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

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

Text Solution

Verified by Experts

`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.
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