Why Trigonometry?

Physics forces (like gravity) only work in straight lines (X and Y). But what if you fire a cannon diagonally?

Trigonometry is the tool we use to chop a diagonal action into its horizontal (X) and vertical (Y) parts so we can calculate where the ball will land.

The Real-Time Math:
Total Speed (V) 80.0
X Speed = V × cos(θ) 56.6
Y Speed = V × sin(θ) 56.6

Notice how changing the angle changes the Blue (Cosine) and Red (Sine) arrows.


• Cosine tells us how fast the ball moves forward.

• Sine tells us how hard the ball fights gravity to go up.