math

reflection across the y-axis

(x,y) transforms to (-x,y).

reflection across x-axis

(x,y) transforms to (x,-y).

base of the natural logarithm

e

change of base formula

The change of base formula allows you to convert logarithms from one base to another, typically expressed as ( \logb(a) = \frac{\logk(a)}{\log_k(b)} ), where ( k ) is any positive number.

sin 45, cos 45, tan 45

√2/2, √2/2,1

sin 30, cos 30, tan 30

1/2,√3/2, √3/3

sin 60, cos 60 , tan 60

√3/2, 1/2, √3

sin 0 , cos 0 , tan 0

0,1,0

sin 90 , cos 90, tan 90

1, 0 , undefined

rate of change for a function formula

f(b) - f(a) / b-a

number of radians in a circle

2π radians

radian

one radian is the angle formed at the center of a circle by an arc whose length is equal to the radius of the circl

radians to degrees

multiply by 180/pi

reflection across the line y=x

(x,y) transformed to (y,x)

product rule of logarithms

log_n(a) + log_n(b)= log_n(ab)

cosecant

hypotenuse/opposite

secant

hypotenuse/adjacent

cotangent

adjacent/opposite

global extrema of a function

global maximum and minimum combined

x³-y³

(x-y)(x²+xy+y²)

x³+y³

(x-y) (x²-xy+y²)

point slope form

y - y₁ = m(x - x₁)