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Area of a triangle (SAS Formula)
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Curcumference of a circle
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Lateral surface area of a cylinder
S = 2πrh
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Total surface area of a cylinder
S = 2πrh + 2πr2
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Surface of a sphere
S = 4πr2
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Volume of a pyramid
 - B = Area of Base
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Volume of a cylinder
V = πr2h
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Volume of a cone
 πr 2h
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Volume of a sphere
V = 4/3πr2
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Double angle identity for cos2x
1/2 (1+cos2x)
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Double angle identity for sin2x
1/2 (1-cos2x)
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cos2x (in terms of cosX and sinX)
cos2x - sin2x
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cos2X (in terms of cosX)
2cos2X-1
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cos2X (in terms of sinX)
1 - 2sin2X
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law of sines
a / sinA = b / sinB = c / sinC
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Law of cosines
a2 = b2 + c2 -2bccosA
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log ( A / B )
log A - log B
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Pythagorean Theorem
a2 + b2 = c2
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Distance between points ( x1, y1 ) and ( x2, y2 )
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Slope of the line between points ( x1, y1 ) and ( x2, y2 )
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Point-Slope equation of a line
y - y1 = m( x -x1 )
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slope intercept equation of a line
y = mx + b
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standard form of the equation of a line
Ax + Bx = C
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Circle with center at point (h, k) and raduis r
( x - h )2 + ( y - k )2 = r2
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Hyperbola with axes as asymptotes
xy = k
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Parabola (vertical axis of symmetry)
y = ax2 + bx + c
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Parabola (horizontal axis of symmetry)
x = ay2 + by + c
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Domain of a function
the set of all possible values of x for a functions
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Range of a function
the set of all possible values of y for a function
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function symmetric across the y-axis
f(-x) = f(x)
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Even functions
f(-x) = -f(x)
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function symmetric through the origin
f(-x) = -f(x)
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Odd Function
f(-x) = -f(x)
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Quadratic formula (roots of y = ax2 +bx +c)
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Inverse of a function
( f o f--1)(x) = x
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To graph the inverse of a function...
reflect the graph of the function across the line y = x
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To find the equation of the inverse of a function
interchange x and y, then solve the equation for y
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If point ( a,b ) lies on the inverse function f-1 then...
point ( b,a ) lies on function f
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Inverse of y = ex
y = ln x
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Inverse of y = lnx
y = ex
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Line parallel to y = mx + b through point ( x1,y1 )
- y - y1 = m ( x-x1 )
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- y = mx + b1, where b1 = (y1-mx1)
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Line perpendicular to y = mx + b through point ( x1,y1 )
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