Question

How do you prove `2sin((5pi)/6)cos(pi/6)=sin120`?

Answer 1

LHS = RHS

Explanation:

`2sin((5pi)/6)cos(pi/6)=2 sin (pi-pi/6)cos(pi/6) =2 sin(pi/6)cos(pi/6)=sin2*(pi/6)=sin60=sin(180-60)=sin120`[Proved]