Functions Trig Formulas, Cheat Sheet of Mathematics

Formulas used for basic Algebra 2 and basic Trigonometry

Typology: Cheat Sheet

2014/2015

Uploaded on 10/27/2023

ryan-mceathron
ryan-mceathron 🇺🇸

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Functions/Trig Formulas
Slope: m = y2 y1
x2 x1
Midpoint: (x2 + x1 , y2 + y1)
2 2
Point Slope: y y1 = m(x x1)
Slope intercept: y = mx + b
General form: Ax + By + C = 0 m = -A/B
Average Rate of Change: y = f(x2) f(x1)
x x2 x1
Average Velocity: s = f(t2) f(t1)
t t2 t1
Squaring Binomials: (a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
Distance: d = (x2 x1)2 + (y2 y1)2
Difference Quotient: f(x + h) - f(x) where h = 0
h
pf3
pf4

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Functions/Trig Formulas Slope: m = y 2 y 1 x 2 x 1 Midpoint: (x2 + x 1 , y 2 + y 1 ) 2 2 Point Slope: y y 1 = m(x x 1 ) Slope intercept: y = mx + b General form: Ax + By + C = 0 m = - A/B Average Rate of Change: y = f(x 2 ) f(x 1 ) x x 2 x 1 Average Velocity: s = f(t 2 ) f(t 1 ) t t 2 t 1 Squaring Binomials: (a + b) 2 = a 2

  • 2ab + b 2 (a - b) 2 = a 2
  • 2ab + b 2 Distance: d = (x 2 x 1 ) 2
  • (y 2 y 1 ) 2 Difference Quotient: f(x + h) - f(x) where h = 0 h

Circles Standard form: (x h) 2

  • (y k) 2 = r 2 Center: (h, k) Radius: r General form: x 2
  • y 2
  • Dx + Ey + F = 0 Quadratic Formula: x = - b + b 2

- 4ac 2a Quadratic Functions: standard form, f(x) = a(x h) 2

  • k Vertex = (h, k) If not in standard form, use x = - (b/2a) to find the x coordinate of the vertex. Then substitute the x value back into the equation to obtain the y coordinate of the vertex. Compound Interest: A = P(1 + r/n) nt Continuous Compounding: A = Pe rt Change of Base Formula: logbM = log M logb Heron’s Formula : A = √s(s - a)(s - b)(s - c) where a, b, and c are the side lengths and s = 1/2 perimeter or 1/2 (a + b + c)

Law of Cosines: a 2 = b 2

  • c 2
  • 2bcCosA b 2 = a 2
  • c 2
  • 2acCosB c 2 = a 2
  • b 2
  • 2abCosC SAS SSS
  1. Find side opposite 1. Find angle opposite given angle. longest given side.
  2. Find angle opposite 2. Find either remaining the shortest given side. angle.