7.6 - 7.6 Product-to—Sum and Sum-to—Product Formulas...

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Unformatted text preview: 7.6 Product-to—Sum and Sum-to—Product Formulas Product to-sum—formulas: Sinasin B = %[003(a< — 8) —~ 008(06 + COS ace-s B = %[COS(Q{ — ,8) + cos(a + sinacosfi = %[Sifl(0i + B) + SHIRE _ 8)] Sum—t0 product formula: {xii—B 2 {15—-B sin a — sin [3 __—__ 2 Sin COS sin a: + 3111 ,8 = 2 sin 2. a: + B 0: (:03 cu + cos B = 2 (:05 7 (.308 a: + ,8: ,- 2. 003 {k — cos B = “2 sin 1. Express Products as Sums Use the appropriate formula to express cos%sin§ as a sum or difference. Use the appropriate formula to express sinlOQsin36 as a sum or difference. a ' ‘ I: ([0 lba+3g>1 a : [[Cosqg... CoSf3‘9] "31 2. Express Sums as Products Express c0386—00526 as a product. ow a 91:13. CO30K—-Co$fb: magi‘n(i§wsm( , ‘SSPZ—Q _. a 3:0 ‘55? em *3 $1‘n SM £39, 9~ L; flagl'n 6‘8 an 39“ Establish the identity: ${iflg : _cot 23 4—“ on $1M)! “3:005: 52 Sm 3—1: 605 % Cogdr COS/“)7 1’31 $1?) (xii—+3 SW (1223 ' ‘ “Co‘ 9': ’ 39-49—50 39+9 m; 5““??9 m . 31 $10 a tars ": Sh é—fiéogitg a 1 9: f 1 51 Sine dos L9 - - 59-9 g 60%38’0099 : -3 gr, 3.9:? Sm T . :— raslfi 31’1—2—“797; ‘- -—* 3$m29 9109 W“ 91% Z_.___/-— 3-WGC/fi7—‘9 _ __ Mu :1 [~— (30sz ...
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