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What is coming up due?
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Sum and Difference of Cosine
Section 5.3
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Cosine of a Sum or Difference:
cos (A + B) = cos A cos B – sin A sin B cos (A – B) = cos A cos B + sin A sin B cos (A B) = cos A cos B sin A sin B
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Ex: Rewrite using the cosine sum/difference formula
cos (90 – x)
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Ex: Find the exact value
a. cos 75
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b. cos 7/12
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c. cos 40 cos 50 – sin 40 sin 50
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Cofunction Identities
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Ex: Write in terms of the cofunction.
tan 87 cos /12
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c. csc (-1424) d. cot
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Ex: Use an identity to fill in the blank.
_______ 33 = sin 57 cos 70 = 1/_______20
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Ex: Find . a. tan = cot (45º + 2) b. sec = csc(/2 + 20º)
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Ex: Rewrite as functions of .
a. cos(0º – ) b. cos (180º + )
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Ex: Find cos (s + t) and cos (s – t)
a. cos s = -1/5 and sin t = 3/5 , s and t in QII
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b. sin s = 3/5 and sin t = -12/13 , s in QI and t in QIII
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Ex: True or False? a. cos 42º = cos (30 º+ 12º) b. cos 74º = cos 60º cos 14º + sin 60º sin 14º c. cos /3 = cos /12 cos /4 – sin /12 sin /4
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