Trigonometry
posted by Mess on .
12. Find the exact value of sin(2x) if sin(x)=1/2.
sin(2x) = 2sin(x)cos(x)

if sinx=1/2, then cosx=sqrt(11/4)=sqrt(3/4)=sqrt3 /2
sin(2x)=2*(1/2)(sqrt3 /2)
= 1/2 sqrt3
posted by Mess on .
12. Find the exact value of sin(2x) if sin(x)=1/2.
sin(2x) = 2sin(x)cos(x)
if sinx=1/2, then cosx=sqrt(11/4)=sqrt(3/4)=sqrt3 /2
sin(2x)=2*(1/2)(sqrt3 /2)
= 1/2 sqrt3