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WS 3(one) - Precalculus 11 Handwritten Homework Worksheet:3...

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Unformatted text preview: Precalculus 11 : Handwritten Homework Worksheet :3 Chapter 8,9,10 A4 ‘ Name We‘ve Math —127 Date: Section: Your work must be' In a readble format and be" In logical order. You may recieve no credit, if your handwriting' Is not clear to understand. Homework with answers only will not receive any credit. To receive full credit, you must show your work and arrive at the correct answer. Total : 15 Points Find the exact value of the expression. Do not use a calculator. )cos 60°sin 30° + sin 60°cos 30° a J; “-3 a; 52% =6) Find the value (ll+ the ndicated 1gonometric function of the angle 6' 1n the figure. Give an exact answer with a rational denominator. 3. (1+3 :2“? lid/VIBE 3—” H1013 8' J17) Findcote. ____, Col 9 1 é: Solve the right triangle using the information given. Round answers to two decimal places, if necessary. . ._ )— A 03+ bl: ‘23 ‘3 ” Gfo—éli-‘”lbn b 5 al: 3‘? B . ' 0.2m 3)b=5,c=8; Finda,B,andA. - J39 "‘— SDOPr_ _._——- CDSPJ “: 4.3.3. ‘8 “:3f31l§3> pa: 6,: (4%) : 61-5?) @ Mrs Hestz'yas Plot the point given in polar coordinates. 3 Tc 4) [4, T] Solve the triangle. (H . 5)a=9,b=9,c=6 S33 IYIOJRJDEL' Cl: Gel+bz- Slab COS C 1 '1 2_ l’a_——C_ __ @9335 C355 3665C ‘04”. 2. '2. L 64- acosc aoa€+33 ) -* 61H) » M )‘4/9 :C05 (3.; £3.91; ”®' The polar coordinates of a point are given. Find the rectangular coordinates of the point. 6) (—3, —135°) (_ 3,} -3IT/4) Cofit'g ) : Cos 9 A: bags 9 an [—9 )7— -—%1‘0 6 - £2: 5&1 :wacoSHTV‘t) El: T‘gl‘ne ._ C 7‘ 2 H2: __ H 3 803 317/” h : ——3 $90 kin/1+) Solve the problem: flgt—Jg) 7" E42,}. :;3'3,<.5J13T/:H/H' 7) Two points A and B are on opposite sides of a building. surveyor selects a third point C to place a transit. Point C is 53 feet from point A and 70 feet from point B. The angle ACE is 51° B? ‘ _B 3H3 «PnanJLL . dial-refine Casc m a Cl": #05951... 9440) (533025 b l The polar coordinates of a point are given. Find the rectangular coordinates of the point. 8) (4, 70°) Round the rectangular coordinates to two decimal places. X: Y’dgse H : P3909 - _‘:q,c, :. L; 603L400) .: Lt “sin (40") (I '31,! 3 ) . How far apart are points A and Mrs Hestiyas The letters 1: and 9 represent polar coordinates. Write the equation using rectangular coordinates (x, y). r: 5 .1: fl 2. 2— 10) 1+c056 r, (IA—(3059) :3 U2:— 1bfl+x —- [OX "'X [ma—Y‘Cos‘t}: ‘3 " Wet—t " 2 ”5’ 4723;”: 6‘4 Sal/WNW. [99% Sid-9'3 x 1+99:— (51 >01" The rectangula coordinates of a point are given. Find polar coordinates for the point. 9.” .2- ‘L . .: _-—. , 43 raxw fame 3; 9,211: (2/ %) I” 92“ 3 «H pang: .L. 6 1" at]? = 2. 713 Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) th t results. tin)“: lat-'- - _ _ _ o no . .. Eggai-iffijlfg . 436‘) $th _31nCienDL _ '—-——" C. $109- ; Sin! q 6L 5 — 1. 5m 1 ${nLt‘i 0" I 9% a T— ‘SI‘OH': .3: $1“0‘i—‘? 3?an _ $170 C A I 3 ‘5‘ 0C) 0 b ,. C. Transform the polar eguation to an equation in rectangular coordinates. Then identify and graph the equation. 13) r = 2 sin 8 H F :_ 2‘5: n 9- . In F wring??? v mmp, '1) 2 L 2.3 Pad/{‘WZ/ in 6 . 5 4 -3 Mrs Hestiyas Use a graphing utility to graph the polar equation. FOO S9 3 If 14) r cos 8 = 4 6 X : Li —6 Test the equation for symmetry with respect to the specified axis, line, or pole. 15) r2=sin(26); the pole RtPlQUL in 197 -— Ir‘ Sqmmclwn‘c w . - y. +0 *Hm. ‘PO LL . L” m1; $11118 ’f‘ 2‘: ”a f n 28 ‘ Identify and graph the polar equation. 16) r= 4sin(2e) Ros e“ awv M C. MYGCIIQWEQGL Ed 9:0 r; Lgsmuo) eguai-W a!) m 430%.” ”'0 i: QCoan— / rzasq‘nng. (17:0 9: fifé h ‘ r—qsinz—T" _L—,f ’nrjro, IS QJVe/w’ Alma. Vase has e 35- P “tfil‘nl‘; P: fig}? :16 arm [‘2 L}$Enl-TI vl—qg'ifyL The lette s r and 9 represent 17) 1- : 2(sin 6 — cos 6) WmHt'qu birth $11923 53‘?“ TL: 1? ($1M) #cose) r1: aqu‘mo-arcosg Z )Xfif: a” flax. +++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyas _ Pt ‘ 5, £3 5 H S s-hrt WU— - Solve the triangle. A 18)b=5,c=6,A=95° C a B at)” 521C)".— ab: Cos tbs (:1: al+IoLn2abe$C 032.15%4— atfiflwc‘o‘bq": ClfialgbL" CosC ‘L— W, -" (5.2293 PM n h (30.. i t :H—H-Zé') -—7_L<&:1Lr)i5) Solve the problem. ‘— ’ —' ' *- l9) A surveyor standing ' l e base of a building measures the angle to the top of the building and finds it to be 38°. The surveyor then measures the angle to the top of the radio tOWer on the building and finds that it is 50". How tail is the radio tower? L? + X basting. Kit: + ‘fi/LL ed [chki 6nd I‘A ._..; . (First Find ‘X' tan "3%; 7);") x26stmas \a La '1qu Jul +3}, I," “if. 58 X1 hb“-3|Lt5m. 4M 4::le ’ Rwy“; gamma! rFinal X+Gt box/60:?fi gm; (39.13.14. “1 “53 X HUVLJtfl—‘Hru incite {'owu; X+Q —X"-‘— 330%I1‘D' . 513m Two Sldes and an angle are given. Determine whether the given information results in one triangle triangle at all. Solve any triangle(s) that results. A 20)b=3,c=5,B=70° 3) §_ig_E2_: S I‘nCJ b C C glhc :_ C" g’l‘n‘g ID 51716.. :’ L3 $1‘“ :m w 3 r.— ‘ C 2 Sm‘ (1-5565 No I Possibia. “Of the complex number in the complex pl ne, 21) 3 -i +++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyas ...
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