 # Trigonometry

## IndexIndex

$$\bar{z}$$. See complex conjugate
$$\pi$$
$$\theta$$, Assemblage. See also Greek alphabet; polar coordinates
$$\|{\bf{v}}\|$$. See magnitude of a vector
acute angle
alternate interior angles
altitude
of a triangle
ambiguous case
amplitude
angle
as rotation
between vectors
central, Item
converting measurement units
coterminal
exterior
find
inscribed, Item
of incidence
of refraction
right
special
standard position
straight
sum in a triangle
angle of inclination
arclength
formula
area
of circle
of triangle
argument
astronomical unit (AU)
bearing
center
circle
area
circumscribing, Item
equation
circular function
circumference
complementary angles
complex conjugate
complex number
difference of
graphing
polar form
product of
quotient of
sum of
complex plane
coordinate form
vector component
conclusion, Item
congruent triangles
conjugate. See complex conjugate
converse, Item
conversions equations
corresponding angles
cos $$\theta$$, Definition. See also cosine
cos $$\vphantom{t}^{-1}$$, Paragraph Definition. See also inverse trigonometric function
cosecant
cosine
of a real number
cotangent
cotangent identity
coterminal angles
DeMoivre’s Theorem
discriminant
distance formula
domain
of inverse function
restrict
dot product
geometric form
double angle identity
for cosine
equation
conditional
equilateral triangle
angles of
equilibrium
equivalent
evaluate, Item
expression, Item
facts from geometry
FOIL (acronym: First, Outside, Inside, Last)
force
function
notation
sinusoidal
fundamental theorem of algebra
Greek alphabet
horizontal line test
horizontal shift
hypotenuse
hypothesis, Item
identity
check graphically
proving
imaginary
axis
number
part
unit
initial side of an angle in standard position, Item
input variable
inverse
graph of
inverse cosine
inverse sine
inverse tangent
inverse trigonometric function, Paragraph Section Assemblage. See also inverse cosine; inverse sine; inverse tangent
irrational number
isosceles triangle
base angles
law of cosines
law of sines
leg
Lissajous figure
loudness, Item
magnitude of a vector
mathematical model
Mercator map
and secant function
midline
minute (as a measure of angle)
modulus
normal line
oblique triangle
obtuse angle
one-to-one
opposite vector
orthogonal, Item
output variable
parallax
parallelogram rule
parameter
parsec
period
periodic function
pitch of musical note, Item
polar axis
polar coordinates
$$\theta$$
$$r$$
angle
converting Cartesian
distance
equations
graphing
non-uniqueness
polar form
product
quotient
polar graphs
catalog of curves
pole
polygon
regular
pure imaginary number. See imaginarynumber
Pythagorean identity
alternate forms
Pythagorean theorem
converse, Note
range
of inverse function
rational number
real axis
real part
graph
rectangular coordinate system
reference angle
reference triangle
resultant force
right angle
Pythagorean theorem
similar
solving
trigonometry
rotation
SAA (one side and two angles)
SAS (two sides and included angle)
scalar
scalene triangle
secant
Mercator map
second (as a measure of angle)
sector
self-similarity
similar triangles
proportions
right triangles
simplify
sin $$\theta$$, Subsection. See also sine
sin $$\vphantom{t}^{-1}$$, Paragraph Definition. See also inverse trigonometric function
sine
of a real number
of an acute angle
using to find an unknown side
sinusoidal function
graph
standard form
slope
Snell’s Law
solve
a triangle
an equation
an equation using a graph
inequality
right triangle
special angles
supplements of
SSA (two sides and non-included angle)
SSS (three sides)
straight angle
substitution
to solve trigonometric equations
subtend, Item
supplementary angles
trigonometric ratios of
tan $$(\theta)$$, Definition. See also tangent
tan $$\theta$$
tan $$\vphantom{t}^{-1}$$, Paragraph Definition. See also inverse trigonometric function
tangent
of a real number
tangent identity
terminal side of an angle in standard position, Item
timbre, Item
transformation
combining
horizontal shift
triangle
altitude
angle sum
area of
exterior angle
inequality
overlapping
reference
right
scalene
solving
triangle inequality
triangulation
trigonometric equation
graphical solutions
with squares of trig ratios
trigonometric expression
factoring
simplifying
graph
product of
raising to power
trigonometric identity
difference of angles
double angle
sum and difference for tangent
sum of angles
trigonometric ratios
coordinate definition
for all angles
obtuse angle
supplementary angles
trigonometry
right triangle
unit circle
angles in
coordinates of point
vector
angle between
coordinate form
displacement
geometric vs coordinate form
notation