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Find all values of k for which there is ...

Find all values of `k` for which there is a triangle whose angles have measures `tan^(-1)(1/2),tan^(-1)(1/2+k)\ a n dtan^(-1)(1/2+2k)dot\ \ `

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Find all values of k for which there is a triangle whose angles have measures tan^(-1)(1/2), tan^(-1)(1/2+k) and tan^(-1)(1/2+2k)

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tan^(-1)((1)/(1+2))+tan^(-1)((1)/(1+6))+tan^(-1)(k)=tan^(-1)4 -(pi)/(4) then k is