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7.4 - 7.4 Sum and Difference Formulas “I radiate-l S I i...

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Unformatted text preview: 7.4 Sum and Difference Formulas “I radiate-l S I i D L I — 94 ‘ - 0 A .. . I n ) > f— ? [t‘m in at .1 #7 H1 + ((josd~cosgs)9‘+ [Shh—Sings) : (Cebu?) a) ) .2, _ J. 24+Cogfbm'ZC/OSACOSP + Sm d +3. 005 (Jo; Ue wan-+1 dicoemd') + Sr‘fiek“) ‘ w ' e) ‘ S i )3 a CQ$CPQ Pk - acosACoea'b "ZSmoL mp» #AECO s a case + 13'1" °‘ *‘FJ : “33f (ff? f ------------- ~ " ' I “p S l‘n x) _ Cog (P: wt) 46;, (oi—rs) :: Cosdé’vsfsif d I ; w R )C no w __M_.._, COS(-;E’):C05 9 L'PD “PS-mat Si_n('P—>) >:&§E§ gin (' : *4 gm 9 - 60$ _ w ________ ‘ ‘ (DH—[5 :: (3059K Cosy?) “- 3100K 8:913 _._.dw—-.-— 1. Use Sum and Difference Formulas to Find Exact Values Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the expression. cos 7—” sin 1 + sin E— cos 1 12 12 12 12 gin :: Sinai Cog/33 + @060? Sin/3 41 l 2.. ~. “I605E.-GoslT—Sin GIVE/Vi 3'0 ’2’ ’2 + ’2 Find the exact value of the following under the given conditions: cos(a+fi) sin(a+fl) tan(0:+fl) tana=%, a lies in quadrant III, andsinfl=%, ,6 lies in quadrant II. lCm o{ I 3 j— L't X r, a .. “'3. Si clx ’ til:- 5. ..- - 9 _ "1+ . P 1 5 (050‘ *l’f": “,3: vi? a “if 5‘3 lfamd : ,3. 3i X‘Ei'fjl‘: 1T2— Z (uni-Jr [‘91: 5" 15+ ‘1 : r1 $2}: P 5’ i r Sm (d-flB): (305 Shpb+ Stack 605/?) ("en—er“ ("ex ‘8 to“ we) we l—‘ronol twp L3/a)+lf"%/’9) : “la/tr) ("Va") 2. Use Sum and Difference Formulas to Establish Identities cos(a+,6) _1'—tanatan;6 cos(a ~fl) _1+tano:tan[)" 6}:de Cog "' Slnd gfnfb (ma <%sp+ Smut Slnfb . Establish the identity: 6M 633* —.-El'::‘fi“"’ Case; Cos lg \—~—._.._l.,._m, M—MWWHHW 609% dog’s “gawk-sh ~m ‘rdmn-Hffl 6 I .__._——-— SzMoHpD) fl tome: +4045 W). .— __ an(ol+r3) ‘ smd GEE + (303d Sig—,5; ‘ gin(o\-P>) F gl‘nd Casi}, -— Cosd $9nf£ 9 H’_’__________’_————/———- gr‘nd 803,15 _ Co$ak Shrfb @osak (309,3 3. Use Sum and Difference Formulas Involving Inverse Trigonometric Functions Find the exact value of tan[cos" E+sin"[ [—11]. 3 5‘ L 7’ C cl P A I "I —— Sin "-1) Lli d: 008 1%; Pb ’ t i b / " . / Hamel Jr tam f Eon DUFF) C l "*EGAOi EWPD 1,. .. -—,l_.: .EL ) C954 : i=3; {RQS‘H'C‘Q’J swig " 5 r 3 dome. tn (Rayhffcireti A X a-+‘j&: Y’z O axe”) domam :4 A a 9K “FA-‘3 "éw/l) 3 “j 7’ g' xl-H’l: r1 Q+Lfi ,i X244“: 1‘5“ [1 iii—bf; 1—: 2L, 5‘ "’3 X': ifiw (drug, )9“?ng _ 25 * .43: ’ _ ——..L. : :Ji‘i @ndrjr-ra L’O‘AP: 0214 2L; 75‘4— iJ‘L i “— o2 em (owe): a ‘24! @de 9/; ., I ~— 77“ We I ~— «13: (“£41— 214 LI%+~J'12-® a 2‘1 1 13‘]? ——d&# v 3021]?" ML) 3 LI' L}%+ 9MP}: fl 4% + W 7% im- PM) : L’Lg (guy ffic) Reid/in J Sum and Differenae Formulas for Casines (303m + ,8) = (:03 a 00:3 ,8 — Sin a: sin. ,8 COS a £303 ,8 + sin a: Sin [9 Sum and Difference Formulas for Sines mm + = sin aces B + CD'S agin )8 31110): ~-— sin a: C03 B — cm a: 5111 B Sum and Difference Formulas for Tangents tan a -l— tan ,8 + m tan a: — tan 3 1. -+ tan 05‘ tan ,8 ta.1"1( {1? "m" ...
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