Question

if X,Y,Z are angles of a triangle then find the maximum value of sinX.sinY.sinZ

Answer 1

0.866025404×0.866025404×0.866025404

Answer 2

Given; X Y And Z

To Find; the Maximum value of sinxsinysinz

Solution; This will be maximum when all the angles are ninety but since these are angles of a triangle so it will be maximum when all angles are sixty degrees

SinX=SinY=SinZ=0.87

sinX.sinY.sinZ=0.66

Hence the maximum value is 0.66