Question

True or false?

Answer 1

I believe it's true... just want to be sure

Answer 2

cosxsinx = 1/2(sin2x) right?

Answer 3

\[\Large \theta = \frac{x}{5}\]


Double Angle Formula for sine
\[\Large \sin(2\theta) = 2\sin(\theta)\cos(\theta)\]
\[\Large \sin\left(2*\frac{x}{5}\right) = 2\sin\left(\frac{x}{5}\right)\cos\left(\frac{x}{5}\right)\]
\[\Large 2\sin\left(\frac{x}{5}\right)\cos\left(\frac{x}{5}\right)=\sin\left(\frac{2x}{5}\right)\]

\[\Large \sin\left(\frac{x}{5}\right)\cos\left(\frac{x}{5}\right)=\frac{1}{2}\left[\sin\left(\frac{2x}{5}\right)\right]\]

Answer 4

Yes you are correct

Answer 5

Thanks!

Answer 6

You're welcome