We can now take our equation and multiply the cos(180), which equals -1.
Equation: d/2r *sinθ= sin(-(θ+φ))cos(180)
Becomes: d/2r*sinθ= -sin(-(θ+φ))
Because Sine is an odd function, sin(-x) = -sin(x), so we can change our equation .
Equation: d/2r*sinθ = -sin(-(θ+φ))
Changes to: d/2r*sinθ=sin (θ+φ)
That is how we come up with the equation to find the angle of a shot. To see an example, click on the link below.