C2 Flashcards
Convert pi/20 radians to degrees?
9degrees
How do you convert X radians to degrees?
180X / pi
How do you convert Y degrees to radians?
Ypi / 180
What does one degree equal in radians?
Pi / 180 rad
How do you find the length of an arc using radians?
r x theta(radians)
How do you find the sum of a series to infinity?
a / (1-r)
a = first term r = multiplier
How do you tell if a series has a sum to infinity?
If the multiplier absolute value is less than 1 then it has a sum to infinity
What is the equation for a sum of a geometric series?
Sn= a(1-r^n) / (1-r)
Or = a(r^n-1) / (r-1)
For a geometric sequence, what is the formula for the nth term?
ar^n-1
Area of a segment of a circle?
A = 0.5r^2(θ-sinθ)
Area of a sector = ?
A = 0.5r^2θ
Length of arc of a circle = ?
l = rθ