01spex1 - mm “3 SPRle not 4205 Q29“ bX-l Math 113...

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Unformatted text preview: mm “3 SPRle not 4205»! Q29“ bX-l § § Math 113 EXAM 1, Feb. 21, 2001, (1 hour). To receive credit for an answer, you MUST show work justifying that answer. ' WHENEVER POSSIBLE, GIVE EXACT VALUES. ULL CREDIT WILL BE GIVEN ONLY FOR CLEAR AND ACCURATE FIGURES. I. I - (10 points) Convert to radians: 36° 2 Convert to decimal degrees: 36°12’ = II. (20 points) The two right triangles shown on the figure have the same angle a. Given [AB] = 3, and |BC| = 2, evaluate the length of the line segment C'D. Keep exact values. 5 Using your calculator, give 81 approximate value of oz in degrees and in radians. VD m .2 mam 3 III. Given sinQ : 3, show the possible terminal sides for the angle 9 (in standard po- sition). For each of these terminal sides, determine the corresponding values of cos6 and (ZSpoints) tang. Keep exact values. Iv. Given tan 5 2 7, what are the possible values of cos B? (Exact values). (15 points) V. (25 points) If the circle shown on the figure has a radius of 5 (units), evaluate, keeping exact values: the angle 9 the length of the arc of circle form A to B the area of the shaded sector. the area of the triangle COB. 2 Same question, if the circle has a radius of 10. VIQEWWHJWMWvknmmwuikwmnwm. . VI. Two islands A and B are 1 mile apart. Island B is South~East of Island A. From a boat C, one sees island A at an angle of 50 East of North. One sees Island B at an angle of 250 East of North. How far is the boat from Island A? (25 points) Method imposed: Solve this problem With the tools of Chapter 1 (Right Triangle Ratios, definitions of sine, cosine etc..). (No solution using the law of sines or the law of cosines, to be seen in Chapter 6). ...
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