Solutions to Exam III Ma120(White Version), Su05

Trigonometry

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Math 120 Trigonometry Name: VC~ (ON fL Summer 2005 RWJ Exam III Instructions: . One page of notes allowed . Calculator allowed . Closed book, closed notes . Read questions carefully . Show work for (partial) credit (except on problem 7) . Point values arelisted for each problem /
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1. (16 pts.) Determine all values of 8 for which sin2 8 = 3cos8+3. 1-~'2. $ -;: 3 ~9 3 -L.c:>,)"1. e - 3 C 0.$ e - 2. ': D ~o.s\.e r.1 c~ <'9 of- '- ::. 0 (CO..> er 1- "1-) (~e- -#- I) ~ D 6-11>t~ c~:> {>I -+"1... .:. DbII\- co.5 l),f- ( ;:: 0. , ~ , y--- ~o $O\...'-"1'1.~..5 (:.O~ e- = 1 ?r+- .k: a.-- ; k 4~.,..,. 2. (16 pts.) Using our "standard labeling" if b = 4, fJ = 10°, r = 90°, then "solve the triangle"; that is, find a,c,a. (Give answers to the nearest hundredth.) of:::. I J'c>" - f - r ::;- 8"0° ~ a - "1..~ 0(. = - ~ a:= 2'2., ,q b a , '\. ~ ~ c. ';' 2- '.D 4- ti -1-1, -;c. ~ ,-:.4- a =~~,c; c=~"p4- D a=~ 2
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3. (16 pts.) Using our "standard labeling" if a = 400, fJ = 600, a = 4, then "solve the triangle". (Give answers to the nearest hundredth.) 0 r-= Jg.()'O - 0< -r ::: ?c> , .!.5-d. ~ S3:.l -;::) ~ ~ 5: J , c a '=' . .. r ~~ ~ ~ ~- ~ c.~ ,6:".,3 ~ Co b=~ ~ c =£!;! 00" y= 4. (16 pts.) Using our "standard
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