Question

prove that : 8sin20 sin40sin80 =√3

Answer 1

LHS = 8sin20° .sin40°.sin80°

=4{ 2sin20.sin80°}sin40°

=4{cos(60) - cos100°} sin40°

=4×1/2sin40° - 4cos100°.sin40°

=2sin40° - 2{2sin40°cos100°}

=2sin40° -2{ sin140° -sin60° }

=2sin40° -2sin40° + 2sin60°

=√3 = RHS

Answer 2

Answer:

this is the ans....hope it will help you