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Trig notes

circumference of a circle 2πr
arc length in degrees s = θ/360 (2πr )
arc length in radians s = θr or θ=s/r
area of a sector in degrees θ/360(πr^2)
area of a sector in radians 1/2(θr^2)
angular speed(angle/time) w=θ/time (rpm x 2π = radians/min)
linear speed(distance/time) v = w x r
sin60° √3/2
cos30° √3/2
cos60° 1/2
tan60° √3/1
sin30° 1/2
tan30° 1/√3 = √3/3
sin45° √2/2
cos45° √2/2
tan45° 1
unit circle equation x^2 + y^2 = 1
tanθ = ?/? tanθ = sinθ/cosθ
cotθ = ?/? cotθ = cosθ/sinθ
sin^2θ + cos^2θ = ? sin^2θ + cos^2θ = 1
1 + tan^2θ = ? 1 + tan^2θ = sec^2θ
1 + cot^2θ = ? 1 + cot^2θ = csc^2θ
area of a triangle 1/2(a)(b)(sinθ)
height of a triangle a(sinθ)
if y=a(cos or sin)(k(x-b))+c, a = ? amplitude
if y=a(cos or sin)(k(x-b))+c, k = ? period
if y=a(cos or sin)(k(x-b))+c, b = ? phase shift
if y=a(cos or sin)(k(x-b))+c, c = ? vertical shift
period for sin(x) = y =?
Created by: 1423555193