Pre-calculus chapter 5 notes:
tan= - (sin/cos)
Cot= - (cos/sin)
pythagorean identity - sin + cos = 1
Amplitude= - | a | cfw_in y= a sin (bx + c) + d
General equation for sin graphs - y= a sin (bx + c) + d
Period = - 2 / b
Gap= - period / 4
Vertical shift=
Pre-calculus chapter 6 notes:
bottom= - vertical shift amp
Period of tangent and cotangent= - / b
Asymptotes of tangent= - ( period / 2) per
Asymptotes of cotangent - 0
distance formula - d = (x-x)+(y-y)
midpoint formula - M = (x+x)/2, (y+y)/2)
slope - m
Pre-calculus chapter 3 notes:
compound interest formula - A = P(1+r/n)^nt
continuous compounding interest formula - A = Pe^rt
logistic growth model - P(t) = c/(1+ae^-bt)
length of the arc subtended by the central angle of the circle of radius r - s = r
ar
Pre-calculus chapter 2 notes:
domain - largest range of real numbers for which f(x) is a real number
average rate of change of a function - y/x = (f(x) - f(c)/(x-c)
even function - f(-x) = f(x)
odd function - f(-x) = -f(x)
difference quotient - (f(x+h)-f(
Pre-calculus chapter 4 notes:
To find co-terminal angels. - 360 or 2
In one full revolutions there are how many radians? - 6.28 radians (or 2 radians)
To convert from degrees to radians multiply by. - / 180
To convert from radians to degrees - 180 /
Arc
Pre-calculus chapter 9 notes:
csc(3/2) - -1
sec(3/2) not defined
cot(3/2) 0
linear speed around circle with radius r where w is the angular speed in
radians/second v = rw
quotient identities tan() = sin()/cos(), cot() = cos()/sin()
reciprocal identities -
Pre-calculus chapter 1 notes:
standard form of the equation of a circle - (x-h)+(y-k) = r
equation of the unit circle - x+y = 1
general form of the equation of the circle - x+y+ax+by+c = 0
linear function - f(x) = mx+b
constant function - f(x) = b
identit