SOLUTION: Prove that 2SinxCosx=Sin2x

Algebra ->  Trigonometry-basics -> SOLUTION: Prove that 2SinxCosx=Sin2x      Log On


   

Question 1050637: Prove that 2SinxCosx=Sin2x
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Prove that 2SinxCosx = Sin2x
:
We use the identity sin(A+B) = sinAcosB + cosAsinB
:
Sin(2x) = Sin(x+x)
:
Sin(x+x) = Sin(x)Cos(x) + Cos(x)Sin(x), therefore
:
Sin(2x) = 2Sin(x)Cos(x)
: