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» here, `alpha + beta = gama` `tan alpha = 2/11` `tan beta = 7/24` as,`tan(alpha+ beta) = tan gamma` `=> (tan alpha + tan beta)/(1 - tan alpha tan beta) ` `=(2/11 + 7/24)/(1- 2/11 xx 7/24)` `= (48 + 77)/(24 xx 11 -14) = 125/250 = 1/2` now, `tan(alpha + beta) = 1/2= tan gamma ` `gamma = tan^-1 1/2` hence proved

Discussion

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