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Exam (elaborations)

ALEKS Exam with Accurate Solutions

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ALEKS Exam with Accurate Solutions

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ALEKS Exam with Accurate Solutions

sin(theta) - ANSWER-y/r (y-coordinate on the unit circle)

cos(theta) - ANSWER-x/r (x-coordinate on the unit circle)

tan(theta) - ANSWER-y/x (sin/cos)

cosec(theta) - ANSWER-1/sin(theta) AKA inverse of sine

sec(theta) - ANSWER-1/cos(theta) AKA inverse of cosine

cot(theta) - ANSWER-cos/sin AKA inverse of tangent

ln(e^x) - ANSWER-x

distance formula - ANSWER-d = √[( x₂ - x₁)² + (y₂ - y₁)²]

circumference of a circle - ANSWER-C=2πr

area of a circle - ANSWER-A=πr²

surface area of a cylinder - ANSWER-SA= 2πrh+2πr²

to find the vertex of a parabola - ANSWER-x-coord= -b/2a , y-coord= plug x into
equation

arc length - ANSWER-s=rθ

standard equation of a circle - ANSWER-(x-h)^2 + (y-k)^2 = r^2

converting between degrees, minutes, and seconds - ANSWER-1 degree = 60 min, 1
min = 60 sec, 1 degree= 3600 seconds

sum and difference formula for sin(A +/- B) - ANSWER-sin(A+/-B)= sinAcosB +/-
cosAsinB

sum and difference formula for cos(A +/- B) - ANSWER-cos(A +/- B) = cosAcosB +/-
sinAsinB

to find the vertical asymptote... - ANSWER-find the zeros of the denominator

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