This exercise requires no trigonometry. (The result will

Chapter 6, Problem 33

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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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