## catsrule332 Group Title Using the following trigonometic identity to neaton up your answer: 2cos(O)sin(O)=sin(2O). Look up what value of x( in degrees) makes sin(x) have it's largest value. Explain what angle (O) gives the longest range of a projectile with a given initial speed. Hint: What must (O) be in the expression sin(2O) for the function sin(x) to be a maximum. 2 years ago 2 years ago

O=$\theta$
The value of x that makes a sine function maximum is $x=(4n+1) \pi/2$. But since we are working with projectiles, we will take n=0 $x=\pi/2$ $2O=\pi/2$ $O=\pi/4$