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PreCalculus chapter 6 formulas

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
convert from degrees to radians   π/180  
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convert from radians to degrees   180/π  
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area of a sector   A = 1/2 r^2 θ  
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angular velocity   w = θ/t  
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linear velocity   V = rθ/t  
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sinθ y-intercept   0  
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cosθ y-intercept   1  
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sinθ x-intercepts   nπ where n is an integer  
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cosθ x-intercepts   π/2 + nπ where n is an integer  
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period of sinθ   2pi  
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period of cosθ   2pi  
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domain of sinθ   all real numbers  
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domain of cosθ   all real numbers  
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range of sinθ   -1<y<1  
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range of cosθ   -1<y<1  
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maximums for sinθ   π/2 + 2πn where n is an integer  
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minimums for sinθ   3π/2 + 2πn where n is an integer  
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maximums for cosθ   πn where n is an even integer  
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minimums for cosθ   πn where n is an odd integer  
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period of y = Asinkθ and y = Acoskθ   2π/k where k>0  
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amplitude of y = Asinkθ and y = Acoskθ   |A|  
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phase shift y = Asin(kθ + c)   -c/k  
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phase shift direction   c>0 shifts left, c<0 shifts right  
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asymptotes of tanθ   (π/2)*n where n is an odd integer  
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period of tanθ   π  
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Created by: misswitz
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