This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: mm “3 SPRle not 4205»! Q29“ bXl §
§ 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). ...
View
Full
Document
This note was uploaded on 08/08/2008 for the course MATH 113 taught by Professor Rosay during the Spring '07 term at University of Wisconsin.
 Spring '07
 ROSAY
 Trigonometry

Click to edit the document details