## SAT Math level 2 Subject Test

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##### Created by:

cmshanks  on September 8, 2011

##### Classes:

SAT Prep

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# SAT Math level 2 Subject Test

 Sin2x2(sinx)(cosx)
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#### Definitions

Sin2x 2(sinx)(cosx)
1.) Cos2x Cos^2x-Sin^2x
2.) Cos2x 2cos^2x-1
3.) Cos2x 1-2sin^2x
Sec^2x 1+tan^2x
log(baseb)b 1
x^(-a) 1/(x^a)
x^a * x^b X^ (a+b)
x^a /x^b x^ (a-b)
(x^a)^b x^ab
x^0 1
x^a * y^a (xy)^a
log(baseb)(p*g) log(baseb)p + log(baseb)g
log(baseb)(p/g) log(baseb)p- log(baseb)g
is r a zero of a polynomial? r is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
What is the remainer of P(x) divided by (x-r)? If polynomial p(x) is divided by x-r then the remainder is p(r)
What are the rational zeros of p(x)? divisors or constant term/divisors of leading coefficient
What is another zero of an equation with zero 3+2i 3-2i
number of positive real zeros of polynomial p(x) equal to number of sign changes between terms or less than that number by an even integer
domain x values
range y values
function each x value only has one y
relation set of ordered pairs
(f+g)(x) f(x)+g(x)
(f-g)(x) f(x)-g(x)
(fg)(x) f(x)*g(x)
(f/g)(x) f(x)/g(x)
(fog)(x) f(g(x))
f^-1 inverse
f(x)*f(x)^-1 x
inverse has to be a function? false
graph of inverse reflected across line y=x
even function f(-x)=f(x) x,y -x,y symmetric across y axis
odd function f(-x)=-f(x), x,y -x,-y, symmetric with respect to the origin
sum of even functions even
sum of odd functions odd
product of even and odd function odd
general equation of linear functions ax+by+c=0
slope of linear with general equation -a/b
y intercept with general equation -c/b
general form of quadratic ax^2+bx+c=y
for quad, a>0 opens up
for quad, a<0 opens down
x-coordinate of vertex of parabola -b/2a
axis of symmetry of parabola x=-b/2a
vertex of parabola -b/2a, c-(b^2/2a)
even funtion ends same direction
odd function ends opp direction
45-45-90 triangle 1,1, square root of 2
30-60-90 triangle 1, square root of 3, 2
general form of trigonometric function y=a*f(bx+c)
general form of trig, a is amplitude
general form of trig, b is normal per of f/b =period
phase shift, general form of trig -c/b
periods of sin, cos tan sin an dcos 2pi, tan is pi
1+cotx^2 cscx^2
1+tanx^2 secx^2
sinx^2+cosx^2 1
cos(90-x) sinx
sin(pi/2-x) cosx
csc(90-x) secx
sec(pi/2-x) cscx
cot(90-x) tanx
tan(pi/2-x) cotx
area of tri .5bcsina
b^(log base b of p) p
translate 4 units to right f(x-4)
translate 4 units up f(x)+4
parabola with x orientation (y-k)^2=4p(x-h) p>0 opens rt.
parabola with y orientation (x-h)^2=4p(y-k) p>0 opens up
conics p distance from parabola to the focus and directrix
ellipse x orientation (x-h)^2/a^2+(y-k)^2/b^2=1
ellipse major/minor axis 2a, 2b
ellipse distance to focus c=square root of (a^2-b^2)
hyperbola with x orientation, opens to sides (x-h)/a^2-(y-k)^2/b^2=1
hyperbola with x orientation, asymptote y-k=+-(b/a)(x-h)
hyperbola distance to focus c=square root of a^+b^2

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