Use the trig identity
2*sin(A)*cos(A) = sin(2*A)
to get
sin(A)*cos(A) = (1/2)*sin(2*A)
So to find the max of sin(A)*cos(A), we can find the max of (1/2)*sin(2*A)
It turns out that sin(x) maxes out at 1 where x can be any expression you want. In this case, x = 2*A.
So (1/2)*sin(2*A) maxes out at (1/2)*1 = 1/2 = 0.5
The greatest value of sin(A)*cos(A) is 1/2 = 0.5
Yes,<span>the famous </span>geometric construction<span> </span><span> a pair of compasses, an unmarked ruler, and (of course!) a pencil and an </span>eraser<span>.</span>
It should be 715, i don’t understand why that isn’t one of the choices.
you’re supposed to multiply everything
