66 terms

Level 7 Math

Based on High School Pre-Calculus
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Terms in this set (...)

area of a triangle
(1/2)bh
area of a trapezoid
(1/2)h(b1+b2)
area of a circle
(pi)r^2
circumference of a cirle
2(pi)r OR (pi)d
lateral surface area of a cylinder
2(pi)rh
total surface area of a cylinder
2(pi)rh + 2(pi)r^2
surface area of a sphere
4(pi)r^2
volume of a prism
Bh
volume of a pyramid
(1/3)Bh
volume of a cylinder
(pi)(r^2)h
volume of a cone
(1/3)(pi)(r^2)h
volume of a sphere
(4/3)(pi)r^3
double angle identity for (cosx)^2
(1/2)(1 + cos 2x)
double angle identity for (sinx)^2
(1/2)(1 - cos 2x)
sin(pi/2 - x)
cos x
tan(pi/2 - x)
cot x
sec(pi/2 - x)
csc x
(cos x)^2 + (sin x)^2
1
1 + (cot x)^2
(csc x)^2
1 + (tan x)^2
(sec x)^2
1 / (sin x)
csc x
1 / (cos x)
sec x
1 / (tan x)
cot x
(sin x ) / (cos x)
tan x
(cos x)/( sin x)
cot x
sin 2x
2(sin x)(cos x)
cos 2x (in terms of cos x and sin x)
(cos x)^2 - (sin x)^2
cos 2x (in terms of cos x)
2(cos x)^2 - 1
cos 2x (in terms of sin x)
1 - 2(sin x)^2
sin(-x)
-sin x
cos(-x)
cos x
tan(-x)
-tan x
b^c = a
log(AB)
log A + log B
log(A/B)
log A - log B
log A^x
xlog A
log base a of b expressed in terms of ln
(ln b)/(ln a)
ln e
1
ln 1
0
e^(ln x)
x
Pythagorean Theorem
a^2 + b^2 = c^2
distance formula
slope formula
point-slope formula
slope-intercept form
standard form of a line
equation of a circle
ellipse
(x^2/a^2) + (y^2/b^2) = 1
hyperbola
(x^2/a^2) - (y^2/b^2) = 1
hyperbola with axes as asymptotes
xy = k
parabola with vertical axis of symmetry
parabola with horizontal axis of symmetry
domain of a function
the set of all possible values of x for a function
range of a function
the set of all possible values of y for a function
a zero of a function
a value of x where the graph of a function intersects the x-axis
function symmetric across the y-axis
f(-x) = f(x)
even function
f(-x) = f(x)
function symmetric through the origin
f(-x) = -f(x)
odd function
f(-x) = -f(x)
quadratic formula
inverse of a function
to graph the inverse of a function...
reflect the graph of the function across the line y = x
to find the equation of the inverse of a function...
interchange x and y, then solve the equation for y
if point (a,b) lies on the inverse function f^(-1), then...
point (b,a) lies on the function f
inverse of y = e^x
y = ln x
inverse of y = ln x
y = e^x