题目内容：

abc成等比,cosB=3/4 1/tanA+1/tanC=?

优质解答

a,b,c成等比数列,ac=b^2,sinA*sinC=sinB^2 (a/sinA=Bb/sinB=c/sinC=2R)cotA+cotC= cosA /sinA +cosC /sinC =(cosA sinC +cosC sinA )/sinA sinC =sin(A+C )/sinB ^2 =sinB /sin B^2 =1/sinB =根号（1-cosB^2)=根号7/4