a) Notice that the angle π/4 is halfway between 0 and π/2. We also know that sin 0 = 0 and sin(π/2) = 1. Does this mean that sin(π/4) should be halfway between 0 and 1, which is 1/2? Explain your answer!
b) Sketch a right triangle whose acute angles measure π/3 (60°) and π/6 (30°) and whose hypotenuse has length 2. What are the lengths of the two legs?
c) Show how to use the triangle in (b) to find the point (P,Q) where the terminal ray of the angle π/6 intersects the circle of radius 2. Sketch a diagram to illustrate!