Question

Consider the circle whose center is (0,0) and whose radius is r =3. Consider a point (a,b) on this circle, with central angle θ =π/6 . Draw the triangle with vertices (3,0), (0,0), and (a,b). Find the exact values for a and b. Explain how you found these values.

Answer 1

Did you draw the figure? It should be clear that
a = 3cosθ
b = 3sinθ