Download DAT Quantitative Reasoning Formulas 2024 Exam Prep and more Exams Physics in PDF only on Docsity!
DAT Quantitative Reasoning Formulas
2024 Exam Prep
30-60-90 Triangle - Answer>>x-x(√3)-2x 45-45-90 Triangle - Answer>>1-1-(√2) Midpoint formula - Answer>>(x₁+x₂)/2, (y₁+y₂)/ avg the X and Y values Distance formula - Answer>>d = √(x₂ - x₁)² + (y₂ - y₁)² standard deviation (variance) - Answer>>√(∑(x-xavg)²/n) Standard deviation = √variance Law of Sines - Answer>>sin(A)/a = sin(B)/b = sin(C)/c Sin and Cos Relationships - Answer>>sin(θ) = cos(90°-θ) cos(θ) = sin(90°-θ) sin(-θ) = -sin(θ) cos(-θ) = cos(θ) sin²(θ) + cos²(θ) = 1 Cosecant (csc) - Answer>>1/sin = hypotenuse/opposite Cotangent (cot) - Answer>>1/tan = adjacent/opposite Secant (sec) - Answer>>1/cos = hypotenuse/adjacent
Basic Trigonometric Functions - Answer>>cos = x, sin = y, tan = y/x, cot = x/y Foci Formula - Answer>>a²−b²=c² where x²/a² + y²/b² = 1 and c = distance from origin to foci Ellipse formula - Answer>>x²/a² + y²/b² = 1 where a = length of x-axis from origin and b = length of y-axis from origin Combination - Answer>>C(n, r) = n!/r!(n-r)! when you're trying to choose r out of n, and order does NOT matter Permutation - Answer>>P(n,r) = n!/(n-r!) when you're trying to choose r out of n things, and order does matter (ordered combination) Distance/Velocity - Answer>>Distance = velocity x time Avg velocity = (total distance traveled) / (total time) Graphing - Answer>>y = mx + b where m = slope, b = y-int, x+n is a shift left, x-n is a shift right Distance btwn two points = make a right triangle and solve for hyp Percent Increase/Decrease - Answer>>[(x₂-x₁)/x₁]∙100 = percent change
Central angle of a circle = intercepting arc External angle = (1/2)(difference of intercepting angles) Inscribed angle = angle formed by two chords in a circle which have a common end point that forms the vertex of the inscribed angle Unit Circle - Answer>> (x²)(y²) - Answer>>= (xy)² (x²)(x³) - Answer>>= x²⁺³ x²/y² - Answer>>= (x/y)² x²/x³ - Answer>>= x²⁻³ x⁻² - Answer>>=1/x² area of circle - Answer>>πr² area of sphere - Answer>>4πr² (surface area) area of cylinder - Answer>>2πrh+2πr² area of ellipse - Answer>>πab area of quadrilateral - Answer>>bh area of triangle - Answer>>½bh area of equilateral triangle - Answer>>(s²√3)/ volume of cylinder - Answer>>πr²h
log(X) + log(Y) = - Answer>>log(X∙Y) log(X) - log(Y) = - Answer>>log(X/Y) n∙log(X) = - Answer>>log(X)ⁿ log₁₀(X) = n - Answer>>X = 10ⁿ graphing formula - Answer>>y-y₁ = m(x-x₁) °F → °C - Answer>>(F - 32) * ⁵/₉ °C → °F - Answer>>(C * 9/5) + 32 K → °C - Answer>>K - 273. K → °F - Answer>>(K - 273.15) * 9/5 + 32 1 in - Answer>>2.54 cm 1 m - Answer>>1.1 yd 1 lb - Answer>>454 g 1 kg - Answer>>2.2 lb simple interest formula - Answer>>I = PRT I = interest P = principle R = annual rate T = time in years
Cos(30°) - Answer>>= √3 / 2 Sin(60°) - Answer>>√3 / 2 Sin(45°) - Answer>>√2 / 2 Sin(30°) - Answer>>1/ Tan(60°) - Answer>>= √ Tan(45°) - Answer>>= Tan(30°) - Answer>>=1/ √ probability that multiple events occur : Multiply - Answer>>P(1) x P(2) x P(3) sin x = (π-x) - Answer>> speed - Answer>>distance/time sin(2x) = - Answer>>2sin(x)cos(x) r³/² - Answer>>= (²√r)³ circumference - Answer>>2 x pi x r standard equation of circle - Answer>>(x-h)² + (y-k)² = r² 1 + cot²(θ) = - Answer>>csc² (θ) 1 + tan²(θ) = - Answer>>sec² SLOPE - Answer>>Y2-Y1/X2-X
X=sin (180-x) - Answer>>x=-cos(180-x) cos (x)= - Answer>>cos(-x) -sin(x) - Answer>>sin(-x) Thank you for your purchase! Need academic assistance? Look no further! 📚 From assignments to exams, essays to study guides, I've got you covered. Specializing in top-notch writing services, including essay writing, report drafting, and research & citation assistance. Whether you need help with assignments, online classes, exams, or academic writing tasks, I'm here to support you every step of the way. I also offer test banks, study guides, and exams for any subject at a favorable price. Access study materials from Stuvia, Docsity, Docmerit, and Course Hero. Feel free to DM me for more information. If you're satisfied with my service, I'd greatly appreciate a positive review! Your feedback helps me improve and assist more students like you. For compliments and complaints, please DM me. Additionally, I'm open to discussing any document or topic you need help with. Let's achieve academic success together! 🚀🚀 Contact Information: 🚀 Email: [email protected] 🚀 Discord Server: Your Assignment Handler 💳 Payhip: Payhip Link
