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Mathematics 30–1 Formula Sheet

This document provides formulas and identities for: 1) Solving quadratic equations, graphing calculator window format, laws of logarithms, growth and decay, trigonometric functions, and the general form of a transformed function. 2) Permutations, combinations, and the binomial theorem including formulas for factorials, permutations, and combinations. 3) Trigonometric identities for sum, difference, double, and half-angle formulas.

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20K views1 page

Mathematics 30–1 Formula Sheet

This document provides formulas and identities for: 1) Solving quadratic equations, graphing calculator window format, laws of logarithms, growth and decay, trigonometric functions, and the general form of a transformed function. 2) Permutations, combinations, and the binomial theorem including formulas for factorials, permutations, and combinations. 3) Trigonometric identities for sum, difference, double, and half-angle formulas.

Uploaded by

CM2607
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Mathematics 30–1 Formula Sheet

For ax 2 + bx + c = 0, Trigonometry

2 a
x = -b ! b - 4ac i=
r
2a

Relations and Functions tan i = sin i cot i = cos i


cos i sin i
Graphing Calculator Window Format
csc i = 1 sec i = 1
sin i cos i
x: [xmin, xmax, xscl]
y: [ymin, ymax, yscl] cot i = 1
tan i
Laws of Logarithms sin 2 i + cos2 i = 1
log b`M # N j = log b M + log b N 1 + tan 2 i = sec 2 i
log bb M l = log b M - log b N 1 + cot 2 i = csc2 i
N
log b`M nj = n log b M sin(a + b) = sin a cos b + cos a sin b
log a c
log b c = sin(a - b) = sin a cos b - cos a sin b
log a b
cos(a + b) = cos a cos b – sin a sin b
Growth/Decay Formula
t cos(a - b) = cos a cos b + sin a sin b
y = ab p
tan(a + b) = tan a tan b
+
General Form of a Transformed Function 1 - tan a tan b

y = af 8b(x - h)B + k tan(a - b) = tan a - tan b


1 + tan a tan b

Permutations, Combinations, and sin(2a) = 2 sin a cos a


the Binomial Theorem
cos(2a) = cos2 a – sin2 a
n! = n(n – 1)(n – 2)…3 # 2 # 1,
where n d N and 0! = 1 cos(2a) = 2 cos 2 a – 1
n! cos(2a) = 1 – 2 sin 2 a
n Pr =
(n - r)!
tan(2a) = 2 tan a
n Cr = f p
n! n
n Cr = 1 - tan 2 a
(n - r)!r! r
y = a sin 8b(x - c)B + d
In the expansion of (x + y)n, written in
descending powers of x, the general term is y = a cos 8b(x - c)B + d
tk + 1 = nCk x n - k y k.
Alberta Education, Provincial Assessment Sector 41 Mathematics 30–1

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