04spex1 - Math 113 EXAM I Feb 9 2004(50 minutes NAME...

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Unformatted text preview: Math 113 EXAM I, Feb. 9, 2004, (50 minutes). NAME: SECTION: Instructor: TO RECEIVE CREDIT FOR AN ANSWER, YOU MUST SHOW WORK JUSTIFYING THAT ANSWER. I. (20 points) 1) Draw with best possible accuracy an angle 6 in standard position such that( sin 6— — _ Show all the possibilities for the terminal side. 2) Draw with best possible accuracy an angle V with tanz/ II. Convert from degrees to radians and vice versa (keep exact values) (10 points)l IT 0 _ TI“ 2 —- Cl. 12 _Q2 x 7,80 rad. IS ’14 12 radians: Q2} l%0\°: (2i Tr 60": 1 III. The circle whose arc is shown on the figure has a radius of length 6 (units), and O is its center. The measure of the angle 0 = LACB is g radians. IN ALL THIS PROBLEM KEEP EXACT VALUES. (35 points) 1) Give the value of the angle [A03 in degrees and in radians. 4. 0 BC. :. 4, O C. % 2 “>8 V'a‘\ (Xboch \"V‘\‘wuxh\ . I an A (-013: TV —-(“'/y+W/g\= 6—3:: , LAOB:TI‘—-1¢°B= Iqrv'oA: 1+3 l 2) Evaluate the length of the line segment AB, and evaluate the area of the triangle 0B0. :: Bl «AI—Lzr \MM l0 ’3 H’Gw: 39.5 . ‘ n-_ mm _ 3W. 2 \ CAB”M\‘89AWMW°JQ“ ’3‘” lbw—5 “(E—E‘s" m—W‘L \+\)"z' 4) Evaluate cos g, and sin % (exact values!). 0" \Bc.\°'.—_ \c-A\"+ \A (3?; (“3031+ an)‘ =(bc+\s+aefi.)+ v3 23““ 9—5 “but. 6 m1, va‘I- \be _ 301 2 ‘ \AU MW? 02”; P ‘ um ‘ mm m w - _. CM —- = M- 3 [e c\ 6 Warm, 7- ‘ Comwmm may Aoaavcw 5) Evaluate the length of the arc of circle form D to B. ML \ 1- qu': 9:03—7- . ‘ ‘\ \ \A 5““ 12A had.“ our: wu‘c no MMKAV‘W‘A - T‘QALV‘c awe AQV‘C V‘Al \ “V mwers. Mleu Rem)»: 6%? ”Lil 6) Evaluate the area of the shaded region. CW‘U» are, I'QaMoXA 08 C : (lg—'2. 0&5on andgAeJI'ELOBD: ‘ “Hr IV. Two villages on the path of a plane are seen at an angle of depression of 50° and 29". The distance between these two villages (at the same altitude) is 5 miles. At which elevation above the villages is the plane flying? (1 mile 2 5280 ft) Method imposed: Solve this problem with the tools of Chapter 2 (Right Triangles, definition of sine, cosine and mes and the law of cosines to be seen in '[k Chapter 9. (25 points) \m k OWA X 0.4 Alexou/‘M «M l 05° {yer/mt: an wow 50° 9» L: (X'FSBYM Zq° so x \WA 50°: QWSB‘Iowlol‘ I x (mas-o“- \mzfl: 7W”- 5'\*aw. 16‘. Y‘m‘S‘D"- Yam («l-Clo “We: X = ' S\'V\(C_L: XVM9D°J w cyxk: ghmsootale" 251‘316“ (/Wuu) kmS‘O"- YMZ‘V «8v: 27,35‘16b V. If a wheel rotates with an angular velocity of 6.5 radians /sec. , how many revolutions of the wheel take place in 1 minute? If it is the wheel of a bicycle, and if the wheel has a diameter of 29", what is the distance travelled in 1 minute? (10 points) lV‘QVMCmA Cev‘v‘covwafi l‘o 2W QAMQMxLL $0 wake NC 609 X60 a: GZTCNI'MCA ZTT deWM-t ‘M‘W‘J‘Q—‘A P“ ’W‘C‘RWTG- 2' (GMQQK GeroVaMo’n CV\ FNMW\X R ; (saw) x 2:3- = 5’, 655'” ( 0W0» am? am '. mun/Mu og'LQVOQ‘thgsm X cc'vwwfieveuca\ _ ...
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