click below
click below
Normal Size Small Size show me how
Trig notes
Question | Answer |
---|---|
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 =? | 2π |