103 Trigonometry Problems

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Abbreviations and Notation
Notation for Numerical Sets and Fields
Z
the set of integers
Z n
the set of integers modulo n
N
the set of positive integers
N 0
the set of nonnegative integers
Q
the set of rational numbers
Q + the set of positive rational numbers
Q 0
the set of nonnegative rational numbers
Q n
the set of n-tuples of rational numbers
R
the set of real numbers
R + the set of positive real numbers
R 0
the set of nonnegative real numbers
R n
the set of n-tuples of real numbers
C
the set of complex numbers
[x n ](p(x)) the coefficient of the term x n in the polynomial p(x)
Notation for Sets, Logic, and Geometry
̸ ̸ ̸
|A|
the number of elements in the set A
A ⊂ B
Ais a proper subset of B
A ⊆ B
Ais a subset of B
A \ B
A without B (set difference)
A ∩ B
the intersection of sets A and B
A ∪ B
the union of sets A and B
a ∈ A
the element a belongs to the set A
a,b,c
lengths of sides BC,CA,AB of triangle ABC
A, B, C angles CAB, ABC, BCA of triangle ABC
R,r
circumradius and inradius of triangle ABC
[F]
area of region F
[ABC]
area of triangle ABC
|BC|
length of line segment BC
ÂB
the arc of a circle between points A and B