trigonometry

basic identities

unit circle definitions

sine rule

cosine rule

tan(x) = sin(x)/cos(x)

sin(x) = -sin(-x) and cos(x) = cos(-x)

Pythagorean identities

advanced

addition and subtraction formulas for cos(x)

addition and subtraction formulas for sin(x)

addition and subtraction formulas for tan(x)

double angle and half angle formulas for sin(x) and cos(x)

double angle and half angle formulas for tan(x)

the product formula for sin(x) and cos(x)

hyperbolic functions

how cosh and sinh form the right half of a hyperbola

sech²(x) = 1 - tanh²(x)

csch²(x) = coth²(x) - 1

inverse hyperbolic functions

definition of arsinh(x)

definition of arcosh(x)

definition of artanh(x)

definition of arcoth(x)

definition of arsech(x)

definition of arcsch(x)