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Weekly Quiz #5 Chapter 10 & 11 Show ALL work on separate paper; not on this sheet, not in your green book. Your assignment will not be accepted if work is missing, sloppy, or incomplete for any question. Show as much work as possible, including diagrams and formulas when applicable. Lack of effort will result in a low or zero grade. Box each final answer for each question. A reference sheet has been provided for you on the second page. You do not have to print either of these pages, but of course you can if that helps you. Green Book Questions: Page 2 #11 #12 (no work to be done here; just an answer choice needs to be on your paper) Page 3 #18 #20 (no work to be done here; just an answer choice needs to be on your paper) Page 4 #30 Page 6 #35 Page 9 #2 #6 (no work to be done here; just an answer choice needs to be on your paper) Page 10 #9 Page 12 #27 Page 13 #31 Page 15 #37 Algebra 2/Trigonometry Reference Sheet Area of a Triangle 1 ab sin C K=_ 2 Functions of the Sum of Two Angles Law of Cosines sin (A + B) = sin A cos B + cos A sin B cos (A + B) = cos A cos B – sin A sin B tan A + tan B tan (A + B) = ___________ 1 – tan A tan B sin 2A = 2 sin A cos A cos 2A = cos2 A – sin2 A cos 2A = 2 cos2 A – 1 cos 2A = 1 – 2 sin2 A Functions of the Difference of Two Angles 2 tan A tan 2A = _______ 1 – tan2 A a 2 = b 2 + c 2 – 2bc cos A Functions of the Double Angle sin (A – B) = sin A cos B – cos A sin B cos (A – B) = cos A cos B + sin A sin B tan A – tan B tan (A – B) = ____________ 1 + tan A tan B Functions of the Half Angle _________ sin _1 2 Law of Sines b = ____ c a = ____ ____ sin A sin B sin C _________ 1 – cos A tan A = ± _______ 1 + cos A 1 _ 2 Sum of a Finite Geometric Series a 1(1 – r n) _______ Sn = 1–r Binomial Theorem (a + b)n = nC0anb0 + nC1an – 1b1 + nC2an – 2b2 + ... + nCna0bn n (a + = ∑ n – rbr nC r a r=0 Algebra 2/Trigonometry Sampler – Fall ’09 _________ + cos A cos _1 A = ± 1_______ 2 2 Sum of a Finite Arithmetic Series n(a1 + an) Sn = _______ 2 b)n √ √ √ – cos A A = ± 1_______ 2 [21]