ࡱ> 685  bjbj Yxx;;;OOO8LdOA7"555*** A A A A A A A$BCEf/A;*T***/A55DA"""*LR5;5 A"* A"";"%>5 ?RwOvL<@ZA0A<\JFJF0%>JF;%>**"*****/A/A!$***A****JF********* :  Trigonometric Ratios in Right Triangles The trig ratios are just the ______________ formed by the lengths of the sides of a right triangle. There are _____ trig ratios, though we will only be working with _____.   EMBED Equation.3 P:  EMBED Equation.3 Q:Opposite leg to  EMBED Equation.3 P: Opposite leg to  EMBED Equation.3 Q:Adjacent leg to  EMBED Equation.3 P: Adjacent leg to  EMBED Equation.3 Q:Hypotenuse: Hypotenuse: Trigonometric RatioAbbreviationDefinitionSine of  EMBED Equation.3 PSin P  EMBED Equation.3  Cosine of  EMBED Equation.3 PCos P  EMBED Equation.3  Tangent of  EMBED Equation.3 PTan P  EMBED Equation.3   Ex 1: Given the following right triangle, write the trig ratios in fraction and decimal form.  Sin D = Sin E = Cos D = Cos E = Tan D = Tan E = Ex 2: Find the following trig values using the calculator. (Make sure your calculator is in degree mode and then round to four decimal places)  Sin 38 = Sin 52 = Cos 38 = Cos 52 = Tan 38 = Tan 52 = Ex 3: Find the value of x. Ex 4: Find the value of x.  Ex 5: Find the values of x and y. Ex 6: Find the values of x and y.      Geometry 6-3 Trigonometric Ratios PAGE  PAGE 2 GEOMETRY Unit 6, Right Triangles Name ________________________ Notes 6-3, Trigonometric Ratios Date __________ Period _________ ()     $ ʼʑp[pF:hgCJOJQJaJ)jhPhvoCJEHOJQJUaJ)jhPhvoCJEHOJQJUaJ#j{K hPhvoCJUVaJhPhvoCJOJQJaJ%jhPhvoCJOJQJUaJhvoCJOJQJaJhDCJOJQJaJjhA,UmHnHuhKCJOJQJaJhh$CJOJQJaJhvoCJOJQJaJhhCJOJQJaJ)*  h$IfgdP hgdvo gdK & F gdK gdvm  B C m  hh$If^hgdP & F h$IfgdPXkd$$IfTl0 t644 la$ytPT$ ( ) < = > ? @ B C K O S T g h i j k n v z ~  ̷񨙍x񨍨c񨙍)jhPh9zCJEHOJQJUaJ)jKhPh9zCJEHOJQJUaJhgCJOJQJaJhPhvoCJ OJQJaJ hPhvoCJOJQJaJ)jUhPh9zCJEHOJQJUaJ#j{K hPh9zCJUVaJ%jhPh9zCJOJQJUaJhPh9zCJOJQJaJ$m n  hh$If^hgdP & F h$IfgdPXkdA$$IfTl0 t644 la$ytPT   * + , - 5 ȹwdUC.dw)jhPh0lCJEHOJQJUaJ#j{K hPh0lCJUVaJhPh0lCJOJQJaJ%jhPh0lCJOJQJUaJhPh,CJOJQJaJhPh,5OJQJhCJOJQJaJh,CJOJQJaJhPhvoCJ OJQJaJ hPhvoCJOJQJaJhPh9zCJOJQJaJ%jhPh9zCJOJQJUaJ)j hPh9zCJEHOJQJUaJ  hh$If^hgdP & F h$IfgdPXkd $$IfTl0 t644 la$ytPT  $ h$Ifa$gdP ]gd,Xkd $$IfTl0 t644 la$ytPT  / 5 6 N O mZZCCC$ hh$If^ha$gdP$ h$Ifa$gdPkdh $$IfTlF>  / t06    44 laytPT5 6 7 J K L M N O Z [ n o p q y z { Ͻϕt_M8)jOhPhJCJEHOJQJUaJ#j K hPhJCJUVaJ)jYhPh0lCJEHOJQJUaJ#j{K hPh0lCJUVaJhPh0lCJOJQJaJ%jhPh0lCJOJQJUaJ)jhPhJCJEHOJQJUaJ#j K hPhJCJUVaJhPh,CJOJQJaJ%jhPh,CJOJQJUaJhPh,CJOJQJaJO P s y z mZZCCC$ hh$If^ha$gdP$ h$Ifa$gdPkd$$IfTlF>  / t06    44 laytPT t_PChK>*CJOJQJaJhqwh,CJOJQJaJ)jhPh39CJEHOJQJUaJ#j K hPh39CJUVaJ%jhPh,CJOJQJUaJ)jhPh0lCJEHOJQJUaJ#j{K hPh0lCJUVaJhPh0lCJOJQJaJ%jhPh0lCJOJQJUaJhPh,CJOJQJaJhPh,CJOJQJaJ mZZCCC$ hh$If^ha$gdP$ h$Ifa$gdPkd$$IfTlF>  / t06    44 laytPT ; = P R e m_UUUGGG h^hgd gdvm ]gd,kd1$$IfTlF>  / t06    44 laytPT ; < = y { ~  # ˼sgsgZMs?jhc\UmHnHuhv>*CJOJQJaJhO>*CJOJQJaJhKCJOJQJaJh?@CJOJQJaJhvCJOJQJaJh4CJOJQJaJh4>*CJOJQJaJhvoCJOJQJaJhCJOJQJaJhhDhhDCJOJQJaJjhkUmHnHuhhDCJOJQJaJh>*CJOJQJaJhhD>*CJOJQJaJe f y z {  $ % ; < R S T  4^gd d^gd gd gd4 gdvm h^hgd# $ % : ; < Q R S T X o p t ͦ͗ͳ|pdXKdh >*CJOJQJaJhqwCJOJQJaJh CJOJQJaJh-CJOJQJaJh->*CJOJQJaJjhUmHnHuhhCJOJQJaJh5CJOJQJaJh>*CJOJQJaJh=,>*CJOJQJaJhCJOJQJaJh4CJOJQJaJhvoCJOJQJaJh4h4CJOJQJaJ !  !&gd> gdvm gdqw gd     ! " # ) * + - ̱̽~rrfbXRXRb h.0Jjh.0JUh.h39CJOJQJaJhT<CJOJQJaJh QhCJOJQJaJhbHh.CJOJQJaJhd+jhd+UhOCJOJQJaJhnP5CJOJQJaJh-h-CJOJQJaJh-CJOJQJaJjhUmHnHujhqwUmHnHuh)CJOJQJaJ! " + , - 8 9 : z gdvm  !(gd $h]ha$gdOh]hgd &`#$gdO- . 4 5 6 7 8 : I z ¶hOCJOJQJaJh#hzrhd+hXhhCJOJQJaJhCJOJQJaJh QhCJOJQJaJh.%h Qh0JCJOJQJaJmHnHu hOhO0JCJOJQJaJ)jhOhO0JCJOJQJUaJ5 01h:p/ =!"#$`% ngx~Oql;*䆏PNG  IHDRb0sRGB pHYsaPLTE???w7AIDATxKv0@QN&|`ǘ (`%f!9A3 $Θ1'z".y).d2ĚK\T8iKFR[& ;7ؠ`ޟ;g1Wxɿ$ۣovO9RD'[K~:JPҙ_%Q! t!iuP!2tBA".k s$K $VyIo6AdUZbKZVQURUVAɷZ$]V)kRV!F2ZE$ېl*!ٮU@.’wK-'.yZ%%;J!/j( 2J!,V6ɏrI-!$#qZY$Z9$T+-J/J.[Y%Z% Kx@Ijx萧$J(INbk%$J%IH=. lfJ"VRIU+$V|IȬ_bӇ<$VlI~ȒPRR+VT+SRV+V&q @K\>;:!:@ %M/ q`Ba#{0С{qqdKdۇOADȜR y!RB$#cJEdi!%j@NH .T@Zu" !D@BL{;`wl`"#`ߺ 5 "/`ǔ x"7mw?M7! % f"eS`=D!zRuI VB%A@|JDC֥79N€0SP.Cx!*S``.^TKJgJ甪x Qp_vQ04nDz 1>@>??jqzG GV:, m,M~$Ux?8Xs?ռ4_VIENDB`nk98SJҖQzY<PNG  IHDRǪsRGB pHYsaPLTE???w7A}IDATxmr0ppLOh $;t|'7'BH1n Q i>i:Fq6frQ JF "_] rxCt5aiLh)"{@\mC[ل5UQ1^ 1G- w Hk{` wqeI vB]BD&1H`Wt@qsQUlJ7 } } a kc`7 |-Vކ06K5l!i/y`!_:8f@hۿi` ̓yBVڿ>!^eCtm!ތ|5MS ^_Tӽ!H,#v+^Ȳ!@"<Yv ޫC!Gy A,C  2dVMf2 l\*4R jCz6 $\k<:.B@=pޗRs07 ?ghL!R&b9 )TWDX 6[*#d;"Nsl`~t`=04(urCod`bG~pՠy7#!gh& X` Cti8!@_WKj( @ i"H~` فddtB?JHV5M ,)$dTĐRCK I~^AI ,=$1 jXHRIy el YMA ,dcj2W+U`4߃?O[:|s$kgXvZYy^!VmD X`e O A+y O+ i`W*4qP ~iL&A B|0NY!_9Z+ a37y-]XwUض  2G?UR#ӡ  RmAHW% yQJ OU@v)Aeďsȣu7lC/?lVru4dE >o߁9jFcIENDB`nC9C|YPNG  IHDRtssRGB pHYsaPLTE???w7AIDATxkn8 fLX5YbԘ"2qFj5R'?¥Q I; t@tCd: Fu@`#12/r*G<ɑ8ن G9"Fu@`# 1cd^W)b G$G!ϸ |R(^ : g\EY!?W\%.ylC#?q -Y$ps;9NC|: IEE|W&rqe"w[ܦ "G.!y#> ŕr-MCFqe 1}91cd^H.dĎAdGF Аl\V\HibT$W/% 4Wb G$G*mrW R*j"iH9xU`4b G _TʇG*C#W, ATE q3X4dWq-}S i׮%֯s |E$g8/[q- ~_}- 1zܝOD ;x2&t4E :x._M@0qm"Zu@k"iQT\C_V^hvk7 M?MTd|Ud#|PDꀠZA‹LSBq-#U|ʈ'ĵli %E6M\#Gk!P r0VԎD⅚yG˫| KrdpْWX~=Ï<ԺOI0fyHLj}Σq.)ȱ;K;勛cyݖ"bO7X< Esp)>Xy=.Cca =%\ ^%_=[df%E 4Smă$>NWr6pi,Huo#zQhX~] NcIENDB`n0jJ 8k&PNG  IHDR8sRGB pHYsaPLTE???w7AkIDATh޽Y ᒸN: b;0T9>}A0(956ʪ ?Mb4i Z> 7æ}1iS4&mƣ}hhC1hzFhsՖMH Ԗьf lx< .2= v), B 5m䳁Z[LD=xͷLk4: iHPk:7 G=by(IЂ{vR{wZ AKVD+֒jiJhZb2-5ZHKVG+2k9hZV\w߸riGU˧߇- Zv-?Z-C+DK֊jcQTMEKeҴ0ZV-I+GKk5hJX 'Z-RCaEТhxb4hbs 3کTCvF;ѐkю5hz# ?ځF@#QDHi44h;Qmmm Bd;J-C{|梍 HgzZ[ vu.FWd~j~Ѵ0óPiLhX?3MQ-LkO:BM3MMF@[6=(B4]Uh{D7"h9H4hүھ\h ;A1ߨvqS`8]g_.`kIENDB`n{PNG  IHDRp7ٷsRGB pHYsaPLTE???w7AWIDATx[z0}@ . B CuOE TG__gT~Ԋ>frߏoX_OCt!߀CYM@7pt~S}|_)?W9W:-k &/Kc|Y1$,44<"**2:&&.6~z}S'?O?O6O{|t˂ᅩY+6MON~x ?p叓{] Magmr=>~|o#c'mL|~دeT|vۏGǟK\Uߌ'ǟ} &nD)́c/~}Lŷ~LQ?_o_G?~Y=?o w,||çgI|R|OO>5>է'43' )>G|<>S|Glq>_|s>kx7~?gsǏ|Q~1~~*E_o-`6'af;33@-[(`lΙ 7E ;u1!?w s*IqUdM%Oݾ]V!Cx #,`-!W0va#z a?c8a?dw}x7G TU{j7Gm8S:Y<ʎV7?Tv=_߉{= XN4_S[Aǡg)ڦP=bu{2?7K M۟0AtxrO|Ϟ+/$8x=G?Z߶wUz IENDB`nu&R4V[!AvPNG  IHDR%F@sRGB pHYsaPLTE???w7AIDATxk Vsj6`frzyL H|@CcV15On:9q܌k&\V3\1?4W :l&^eO ˡC|5IsիD LP ѭqYD1g.-h{Cg:5urB[z~g_pq;5?~o.9wyJj12odwu]vJ4.Nje'ZWUߦYՕr#ƦAMU_KcH]Wu>ԪM/1f;k ?a՝6ϛ{5ĮV˶oLW'cou&zBEes۸E\\ɘ>U\L1M6)DC^o%1߶G;m*Ϊ;7yU]PqNT \irJ:{t%FЉ]6l߶U\hݗ*ɞ ΊpSK K f},MNȰ+ &VX7kE,gm)C\Eh) py tP`7s~ uz{dB<{~ r[:tB% #WPcW`_bt!olp *]MB;.im.?!2rE;^\]]+o.'U@%ƞK]QA W{M_W4wy_ 5B-B͜}Әw q?.;pX!TW לr|y剁,IENDB`Dd b  c $A? ?3"`?2@`Sߚ[OY;z D`!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9Dd b  c $A? ?3"`?2@`Sߚ[OY;z :`!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9g$$If$!vh55#v#v:V l t655a$ytPTDd b  c $A? ?3"`?2@`Sߚ[OY;z `!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9Dd b  c $A? ?3"`?2@`Sߚ[OY;z `!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9g$$If$!vh55#v#v:V l t655a$ytPTDd b  c $A? ?3"`?2@`Sߚ[OY;z `!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9Dd b  c $A? ?3"`?2@`Sߚ[OY;z `!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9g$$If$!vh55#v#v:V l t655a$ytPTg$$If$!vh55#v#v:V l t655a$ytPT$$If!vh5 55/#v #v#v/:V l t065 55/aytPTDd b  c $A? ?3"`?2@`Sߚ[OY;z ^`!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b  !"#$%&'()*+,./01234B7:<;=>?@IAJCDEFGHLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnRoot Entry F}Rw9 Data -WordDocumentYObjectPool 0~Rw}Rw_1268843899F ?Rw ?RwOle CompObjfObjInfo  "#$%&')*+,. FMicrosoft Equation 3.0 DS Equation Equation.39q h5g  " FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native )_1268844993 F ?Rw ?RwOle CompObj fObjInfo Equation Native  _1268845011F ?Rw ?RwOle /5. oppositelegto "Phypotenuse=OH= FMicrosoft Equation 3.0 DS EqCompObjfObjInfoEquation Native _1268845030F ?Rw ?Rwuation Equation.39q/|8. adjacentlegto "Phypotenuse=AH=Ole CompObjfObjInfoEquation Native D FMicrosoft Equation 3.0 DS Equation Equation.39q(3;. oppositelegto "Padjacentlegto "P=OA=Oh+'0|  8 D P\dltUnit 3 LogicAllison Normal.dotm lbledsoe215Microsoft Office Word@@, @*Z8w5?e+9ǑDd b  c $A? ?3"`?2T% 3cw/pA0T`!T% 3cw/pA0v@8\ }xuQ=K@~MMKq(nMl@+\mil/(:t'"ҟTwK;sO^KWm SHD0c6ɲr:h1Py1O=,|)Gp;ХdI_*$UvOBTyONnAPE0} x/YOt+4a=JxSEo[”Oh?]zCOEh{ ;BC~@N:>_x4}ud|G9=zFsRiOuS]NHS$"M̈́Ebqz>as؇kՂ_&5i$$If!vh5 55/#v #v#v/:V l t06,5 55/aytPTDd b   c $A? ?3"`?2@`Sߚ[OY;z `!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9ǏDd 3 b   c $A? ?3"`? 2>5=M=d%G`!>5=M=d%Gv @ {xuQ1O@kE(Mbp4&81DS$%H? N.F5ֻ/{w^?9e6%s"$D"q T!R/t֚vb024aYÉaDe&|lZeڸjjC3f%ᅮ<F=t..4`^0._o"T՚87xAru7s׏ܯqоuJsl?2+K"燡.P;y>u4}O%ke|/'y&]zCRvc_Q41E"$ Xl"Naߧ x`G MHe A?eR$$If!vh5 55/#v #v#v/:V l t06,5 55/aytPTDd b   c $A? ?3"`? 2@`Sߚ[OY;z `!`Sߚ[OY;z:Rxcdd`` @c112BYL%bpu1.E :nH0.?(PHq900^v #T `+KRs@1u3t5tz|b?e+9ǥDd b   c $A? ?3"`? 2]%,TC `!]%,TC @8\ xuR=K@~&mhq(n-BVl']m-mSh dsrq:'8890bWxI2>x79u\[^'GTO>R*巜ЛJ7{\^aXc6 c"=e3DSq%򽘷Sy\G<$ㇾ}bk\9`VgCWԿ顗4t39kU > ؿA5k O,-Y`X7l$$If!vh5 55/#v #v#v/:V l t06,5 55/aytPT1TableKzFSummaryInformation(!DocumentSummaryInformation8(,CompObj-y՜.+,0 hp  Toshiba Unit 3 Logic Title  F'Microsoft Office Word 97-2003 Document MSWordDocWord.Document.89q^ 2 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~_HmH nH sH tH @`@ NormalCJ_HaJmH sH tH DA`D Default Paragraph FontRi@R  Table Normal4 l4a (k (No List 4 @4 Footer  !.)@.  Page Number4@4 ; %Header  !j#j vo Table Grid7:V0PK![Content_Types].xmlj0Eжr(΢Iw},-j4 wP-t#bΙ{UTU^hd}㨫)*1P' ^W0)T9<l#$yi};~@(Hu* Dנz/0ǰ $ X3aZ,D0j~3߶b~i>3\`?/[G\!-Rk.sԻ..a濭?PK!֧6 _rels/.relsj0 }Q%v/C/}(h"O = C?hv=Ʌ%[xp{۵_Pѣ<1H0ORBdJE4b$q_6LR7`0̞O,En7Lib/SeеPK!kytheme/theme/themeManager.xml M @}w7c(EbˮCAǠҟ7՛K Y, e.|,H,lxɴIsQ}#Ր ֵ+!,^$j=GW)E+& 8PK!Ptheme/theme/theme1.xmlYOo6w toc'vuر-MniP@I}úama[إ4:lЯGRX^6؊>$ !)O^rC$y@/yH*񄴽)޵߻UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSebORD۫qu gZo~ٺlAplxpT0+[}`jzAV2Fi@qv֬5\|ʜ̭NleXdsjcs7f W+Ն7`g ȘJj|h(KD- dXiJ؇(x$( :;˹! I_TS 1?E??ZBΪmU/?~xY'y5g&΋/ɋ>GMGeD3Vq%'#q$8K)fw9:ĵ x}rxwr:\TZaG*y8IjbRc|XŻǿI u3KGnD1NIBs RuK>V.EL+M2#'fi ~V vl{u8zH *:(W☕ ~JTe\O*tHGHY}KNP*ݾ˦TѼ9/#A7qZ$*c?qUnwN%Oi4 =3ڗP 1Pm \\9Mؓ2aD];Yt\[x]}Wr|]g- eW )6-rCSj id DЇAΜIqbJ#x꺃 6k#ASh&ʌt(Q%p%m&]caSl=X\P1Mh9MVdDAaVB[݈fJíP|8 քAV^f Hn- "d>znNJ ة>b&2vKyϼD:,AGm\nziÙ.uχYC6OMf3or$5NHT[XF64T,ќM0E)`#5XY`פ;%1U٥m;R>QD DcpU'&LE/pm%]8firS4d 7y\`JnίI R3U~7+׸#m qBiDi*L69mY&iHE=(K&N!V.KeLDĕ{D vEꦚdeNƟe(MN9ߜR6&3(a/DUz<{ˊYȳV)9Z[4^n5!J?Q3eBoCM m<.vpIYfZY_p[=al-Y}Nc͙ŋ4vfavl'SA8|*u{-ߟ0%M07%<ҍPK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 +_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!Ptheme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK]  8 1<I$ 5 # -   m O e !  (<>Sgi~*,6JLZnpz::::::::::::18<CE! !03_b$x~Oql;*䆏o78b$Ȳ{)AO9b$nƾ FsH-{<b$k98SJҖQzY< !Ab$9C|YK-Fb$>]s32hG3lb$ <Mh jmb$Ivzl0אbs"b$츺FGAìMb$k|8Cclt_Bۼb$aS-Ѹvo^ʹOb$@o?p3b$0jJ 8k&xKb${rOb$u&R4V[!AvXTb$~#Z$NJi& b$4qO C(2b$X*b$|%D{< %뙋 b$ kU)~^L >b$4х; tU^c|@22(    S <A Right Triangle#" `?  S @A" Right Triangle 2#" `?  S @A " Right Triangle 3#" `?  S @A" Right Triangle 4#" `?  S @A" Right Triangle 5#" `?l ' S (A  hw 4#" `?l * S (A  hw 5#" `?B S  ?; Yyt@ Ct@ tt@*" t@'@ t@L2  t@ !. t@(() $@CKOknvz-6MZqz::zz~ R"*-7899:) CKnv-ZqHI 5~vmR c d>v`uN['D$s..QgT<4=xr ^!i"#; %$a%/'3-)U+d+=,+.x0/j&0w0k~243q4nP5R7w78l839%:Q;9>'AhD;ETGbH $I$Jq/N.4NTOORPyPRwbwyMyoz9z^{%~qw 2Yvo" OC^oR'p0i0l. )-U_K@h?@htt{-M.{JH,PE-A,8dheQ.k%XO;n9s\e %0H$4FW1&,{c\SR#k1oX5n^LP@0DX@UnknownG* Times New Roman5Symbol3. * ArialCNComic Sans MS?= * Courier New;WingdingsA BCambria Math"h$Ħ[55Yr4d 3Q HP ? 2!xxUnit 3  LogicAllison lbledsoe20