CET math Flashcards
formulas, equations, etc
Formula for RATE
work/time OR
multiplication/addition
concentration of solution problems
old concentration = new concentration
L)(conc.) = (L+x)(conc.
equation of a line w given intercepts
bx + ay - ab = 0
where b = y intercept and a = x intercept
Area of a RHOMBUS
base x height
diagonal 1 x diagonal 2
pythagorean triplets
3 - 4 - 5
5 - 12 - 13
8 - 15 - 17
Area of a HEXAGON
s^2 (1.5) (SR3)
2 types of triangles
45 : 45 : 90 = 1 : 1 : SR2
30 : 60 : 90 = 1 : SR3 : 2
Area of a TRAPEZOID
1/2 (base 1 + base 2) h
OR W MIDLINE = (midline)(height)
Volume of a CONE
(pi)(r^2)(height) / 3
distance w rotation
(angle of rot.)(d)(pi) / 360
length of a diagonal
SRdx^2 + dy^2
trigonometric identites
csc = 1/sin sec = 1/cos cot = 1/tan
tan = sin/cos cot = cos/sin
sin^2 + cos^2 = 1
1 + tan^2 = sec^2
1 + cot^2 = csc^2
sin 0
0
sin 30
1/2
sin 45
SR2/2
sin 60
SR3/2
sin 90
1
cos 0
1
cos 30
SR3/2
cos 45
SR2/2
cos 60
1/2
cos 90
0
tan 0
0
tan 30
SR3/3
tan 45
1
tan 60
SR3
tan 90
undefined
factorial
n! / r! r!
circular factorial
(n - 1)!
combination = xC0
1
combination = xC1
x
combination = xC2
x(x-1) / 2
percentile position
(nk/100) + 0.5 where k = percentile
simple interest
Prt
compound interest
P (1 + R/n)^(n)(T) where n = compounding
sum of Roots
-B/A in Ax+Bx+C = 0
product of roots
C/A in Ax+Bx+C = 0
hours of work
k(length) / persons where k = constant of proportionality
logarithms
logb^x=y iff b^x = y
logb ^x/y
logb^x - logb^y
logb^x^n
nlogb^x
logb^x
logx / logb
ln(x)
loge^x
logx
log10^x
Permutation = aPb
a! / (a - b)!
sine law
sinA/a = sinB/b = sinC/c
cosine law
a^2 = b^2 + c^2 - 2bccosA b^2 = a^2 + c^2 - 2accosB c^2 = a^2 + b^2 - 2abcosC
what kind of conic is x=y^2 or y=x^2
parabola
what kind of conic is x^2 + y^2
circle
what kind of conic is Ax^2 + By^2
ellipse
what kind of conic is Ax^2 - By^2
hyperbola
eccentricity of a circle
0
eccentricity of a parabola
1
eccentricity of a ellipse
0 < e < 1
eccentricity of a hyperbola
e > 1
point slope formula
y - ysubscipt1 = m( x - xsubscript1 )
Volume of a CYLINDER
(pi)(r^2)(height)
sum of an arithmetic series
Sn = n/2 [2asubscipt1 + ( n - 1 ) d] where a1 = first value and d = common difference
equation of a parabola
(x-h)^2 = 4a(y-k)
equation of a ellipse
(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1
equation of a circle
(x-h)^2 + (y-k)^2 = r^2
equation of a hyperbola
(x-h)^2 / a^2 - (y-k)^2 / b^2 = 1
