degrees to radians
a*π/180
radians to degrees
a*180/π
sinx = 1/2
x = 30 deg x = π/6 rad
cosx = √3/2
x = 30 deg x = π/6 rad
tanx = √3/3
x = 30 deg x = π/6 rad
sinx = √2/2
x = 45 deg x = π/4 rad
cosx = √2/2
x = 45 deg x = π/4 rad
tanx = 1
x = 45 deg x = π/4 rad
sinx = = √3/2
x = 60 deg x = π/3 rad
cosx = 1/2
x = 60 deg x = π/3 rad
tanx = √3
x = 60 deg x = π/3 rad
arc length formula
degrees = ϴ/360 * 2πr radians = rϴ
sector area formula
degrees = ϴ/360 * πr^2 radians = 1/2r^2ϴ
small angle approximation sin and tan
ϴ = sinϴ = tanϴ
small angle approximation cos
cosϴ = 1 - 1/2ϴ^2
inputs of a function
domain
outputs of a function
range
composite functions
work from inside out
a composite function has a domain…
of the first function
for an inverse function to exist
the function must be one-to-one
geometric relationship between inverse function and function
reflected in line y=x (domain and range swap)