SAT Math Guide

30,60,90 triangle

Hypotenuse = 2x, Side oppositie 30 degrees = x, the final side is x root 3

45,45,90 triangle

hypotenuse = x root 2, other sides = x

a^0

1

(a^x)(a^y)

a^x+y

(a^x)/(a^y)

a^x-y

(a^x)^y

a^xy

a^-x

1/a^x

Quadratic formula

-b±[√b²-4ac]/2a

quadratic equation

ax² + bx + c = 0

Distance Formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

Midpoint formula

(x₁+x₂)/2, (y₁+y₂)/2

Slope-intercept form

y=mx+b

Difference of squares

a^2 -b^2 = (a+b)(a-b)

i

root - 1

i^2

-1

i^3

-i

i^4

1

arc length

Arc = Circumference(Central Angle/360 )

Sector length

Sector = Area(Central Angle/360)

Equation of circle

(x-h)²+(y-k)²=r²