The terminal side of an angle in standard position passes through P (15, - 8). What is the value of sin 0

Sin α = opposite leg / hypotenuse

Terminal side forms a hypotenuse of a triangle.

x - coordinate gives adjacent leg,

y-coordinate gives opposite leg. (-8)

Hypotenuse ² = (leg1) ² + (leg2) ²

Hypotenuse ² = 15² + (-8) ² = 289

Hypotenuse = √289 = 17

sin α = - 8/17