Y2, C5 - Radians Flashcards
How often does sinx repeat
Every 2pi
sinx = sin(pi - x)
How often does cosx repeat
Every 2pi
cosx = cos(2pi - x)
How often does tanx repeat
Every pi
tanx = tan(pi + x)
How to convert from radians to degrees
Divide by pi
Then multiply by 180
Formula for arc length in radians and degrees
l = rθ
l = (θ / 360) x 2pi r
Formula for sector area in radians and degrees
A = 1/2 * r^2 * θ
A = (θ / 360) * pi * r^2
Formula for segment area in radians
A = 1/2 * r^2 * (θ - sinθ)
What is the only unit that small angle approximations work for
Radians
What is the small angle approximation for sinx
sinx = x
(radians)
What is the small angle approximation for cosx
cosx = 1 - (x^2 / 2)
(radians)
What is the small angle approximation for tanx
tanx = x
(radians)