6.2.1 Notes MATH 113
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This 5 page Class Notes was uploaded by Katelynn Jones on Tuesday September 29, 2015. The Class Notes belongs to MATH 113 at University of Alabama - Tuscaloosa taught by Phylisicia carter in Fall 2015. Since its upload, it has received 17 views. For similar materials see - Precalculus Trigonometry in Mathematics (M) at University of Alabama - Tuscaloosa.
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Date Created: 09/29/15
SEETIUN 6 SM M53 DIFFERENCE FGRMHMS PART 1 Sum and Difference Formulas for Cosines and Sines Example cos60 45 In M4 r k l s L39 f i 3 S V a lquot 1 397 3 IL I39 quot 45 KT quot quot Example COS if 71x 6 LL39s i a w 13 L gi ci 433 w uh 54 mm 5 511qu 53 am will H Um EL 39i Jk jxfn 39 Li M 5 13 VJ La 39 113 7 397quot g V J r irh 39 li lv r r23 Kuhn1 i39 m 39 r39 Ema srtgmw ramzasig M La g i f s Sam3935 u l 2 mm i3 aw W3 In am i 5124 139 35M 4L3 MATH 1133 SECTION 62 SM AND DIFFERENCE FORP1ULASPART 1 Ni I H 113 t 2 lt lt3 d 13 lt lt2 fangs 31 a 2mm cos 22 B Jr 4 1 Li L h at W mm Example Find the exact value of the expressions C0301 B Si CCI and tana B under the following conditions 12 8 lies in Quadrant I I 15 sin x a lies in Quadrant I and Sin 13 j QT if if l U 57 Example Write the expression as the sine cosine or tangent of an angle Then nd the exact value of the expression 3111550603350 C0555 Si 350 n 1139 11 1r sm cos cos sm 2 6 2 6 Example Verify the identity sin 6 cos 6 nquot ertrquot JV 1 7 quot1quot i r39nrr st 7 quotquot quot13993quot39r 392 7 i ELLTSLlE 5331 he it i39 may PURE Lyon 5 i quotof i i Example In the following problem the expression is the right side of the formula for cosa B With particular values for a and 3 Write the expression as the cosine of an angle Find the exact value of the expression cos65 cos20 sin65 sin20 lt1 3quotgt lt1 39 3 C03 12 COS 5m 51114 Example Use one or more of the six sum and difference identities to nd the exact value of the expression sin180 30 Sin225
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