sin(pi/12)=(1/2)(sqrt(A-sqrt(B))). I get the part about the half-angle identity sin(x/2)= +-Sqrt((1-cosx)/(2))). But I dont even know where to start with this problem. I'm supposed to figure out what A and B are.
sin(pi/12)=(1/2)(sqrt(A-sqrt(B))). I get the part about the half-angle identity sin(x/2)= +-Sqrt((1-cosx)/(2))). But I dont even know where to start with this problem. I'm supposed to figure out what A and B are.
Let's write it out. . So, let's equate things that look similar. means that or . So plug that in.
Multiply both sides by 2:
Square both sides:
Give me a possible value for . Once you choose a value for , subtract it from both sides, then solve for .