If `2 sin alphacos beta sin gamma=sinbeta sin(alpha+gamma),then tan al – InterviewSolution

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1.	If `2 sin alphacos beta sin gamma=sinbeta sin(alpha+gamma),then tan alpha,tan beta and gamma` are inA. A.P.B. G.P.C. H.P.D. none of these
Answer» Correct Answer - C We have, `2 sin alpha cos beta sin gamma=sinbeta sin(alpha+gamma)` `implies2sinalpha cos betasingamma=sinalphasinbetacosgamma+cosalpha sinbetasingamma` `implies2 cot alpha, cot beta, cot gamma` are in A.P. `impliestan alpha, beta,tangamma` are in H.P.

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