Find the value of tan27° tan34° + tan34° tan29° + tan29° tan27°

1 \(\sqrt {\frac{1}{3}}\) 0 10

1

If any equation is in the form  tanx tany + tany tanz + tanz tanx  and  x + y + z = 90° then,  tan(x+y+z) = 1  (always) ATQ,(27 + 34 + 29) = 90 Hence, ⇒ tan (27+34+29) = tan90° = 1