This exercise requires no trigonometry. (The result will
Chapter 6, Problem 33(choose chapter or problem)
This exercise requires no trigonometry. (The result will be needed in Exercise 34.) We are going to show that the coordinates of the point Q in the following figure are (b, a). (a) Show that the equation of the line through the points O and Q in the given figure is Hint: What is the slope of line segment OP? (b) As indicated in the figure, Q is the point in the second quadrant where the line segment OQ intersects the unit circle. Determine the coordinates of Q by solving the simultaneous equations (c) First [without reference to parts (a) or (b)], explain why Then use the result in part (b) to conclude that the coordinates of Q are (b, a), as required.
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