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WITZ PC chapter 6

PreCalculus chapter 6 formulas

QuestionAnswer
convert from degrees to radians π/180
convert from radians to degrees 180/π
area of a sector A = 1/2 r^2 θ
angular velocity w = θ/t
linear velocity V = rθ/t
sinθ y-intercept 0
cosθ y-intercept 1
sinθ x-intercepts nπ where n is an integer
cosθ x-intercepts π/2 + nπ where n is an integer
period of sinθ 2pi
period of cosθ 2pi
domain of sinθ all real numbers
domain of cosθ all real numbers
range of sinθ -1<y<1
range of cosθ -1<y<1
maximums for sinθ π/2 + 2πn where n is an integer
minimums for sinθ 3π/2 + 2πn where n is an integer
maximums for cosθ πn where n is an even integer
minimums for cosθ πn where n is an odd integer
period of y = Asinkθ and y = Acoskθ 2π/k where k>0
amplitude of y = Asinkθ and y = Acoskθ |A|
phase shift y = Asin(kθ + c) -c/k
phase shift direction c>0 shifts left, c<0 shifts right
asymptotes of tanθ (π/2)*n where n is an odd integer
period of tanθ π
Created by: misswitz
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