Question

circle centered at the origin has a radius of 5 units. The terminal side of an angle, θ, intercepts the circle in Quadrant IV at point C. The x-coordinate of point C is 3. What is the value of sin θ?

Answer 1

Explanation:

x²+y² = 5²

3²+y² = 25

y² = 16

y = ±√16 = ±4

Since the terminal side is in quadrant IV, y = -4

sinθ = -4/5