Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed)

[DeluxeWarPlaya]

2sinθcosθ=sin2θ

It's one of the double angle formula.

Basic trigonometry people!

[dalcde]

Could I simplify cosθsinθ into sin2θ, and d(θ) = s^2/g(sin2θ)?

[Taowhr]

@dalcde, it's actually d(θ) = s²sin2θ/g

[dalcde]

@Taowhr It's the same (perhaps you misunderstood my meaning of the equation)

[johneeo21]

@dalcde you could not combine those two terms because they are unlike terms. it would be like saying 4x+4y=8y You can't just throw x out the window and its the same with this, you can't just throw cos out the window. However, if it were (sinx^2)+(cosx^2), you could simplify this to 1 because it is an identity.

[Silverws69]

You Rule KHAN!!!!