Index Index
acute triangle, Paragraph
addition
of vectors, Definition
addition and subtraction formulas
for cosine, Subsection Definition
for sine, Definition
for tangent, Definition
altitude, Subsection Remark
ambiguous case, Definition
amplitude, Definition
angle, Definition
angular speed, Definition
apparent wind, Example
arc length, Theorem
arc minute, Paragraph
arc second, Paragraph
arccosine function, Definition
arcsine function, Definition
arctangent function, Definition
area
of a sector, Definition
of a triangle, Definition Theorem
axial tilt, Paragraph
azimuth, Remark
backwash, Exercise
canoe
Alingano Maisu, Paragraph
Faʻafaite, Example
Gaualofa, Example
Haunui, Example
Hawaiʻiloa, Paragraph
Hinemoana, Example
Hōkūleʻa, Paragraph
Kānehūnāmoku, Example
Te Matau a Māui, Example
Vaka Moana, Example
central angle, Definition
cofunction identities, Definition
complementary angles, Paragraph
component form, Remark
corkscrew, Paragraph
cosine
domain, Remark
range, Remark
coterminal angles, Definition
course over ground (COG), Example
dead reckoning, Example
declination, Exercise
degree, Paragraph
double-angle formulas, Definition
drift, Example
equinox
fall, Paragraph
spring, Paragraph
etak, Paragraph
even and odd trigonometric properties, Definition
fundamental trigonometric identities, Definition
general solution, Paragraph
half-angle formulas
for cosine, Definition
for sine, Definition
for tangent, Definition Definition
heading, Remark
headwind, Example
Heron’s formula, Theorem
horizontal shift, Definition
initial side, Definition
inverse cosine, Definition
inverse sine, Definition
inverse tangent, Definition
Kūkuluokalani, Paragraph
latitude sailing, Paragraph
law of cosines, Theorem
law of sines, Theorem
leeway, Exercise
linear speed, Definition Definition
longshore drift, Exercise
magnitude, Paragraph
Makaliʻi, Exercises
measure, Paragraph
midline, Definition
minute, Paragraph
moon phases, Exercise
nautical mile, Exercise
negative angle, Definition
paafu, Paragraph
paepae, Paragraph
period, Definition
wave, Exercises
period functions, Definition Definition
periodic properties, Definition
peʻa, Paragraph
phase shift, Definition
pitch, Paragraph
positive angle, Definition
product-to-sum formulas, Definition
Pythagorean identities, Definition
radian measure
of angles, Definition
ray, Definition
reciprocal identities, Definition
reducing powers formulas, Definition
reference angle, Definition
reference course, Paragraph
reflection
about \(x\)-axis, Definition
about \(y\)-axis, Definition
roll, Paragraph
scalar, Paragraph
scalar multiplication, Definition
second, Paragraph
semiperimeter, Theorem
set, Example
sine
domain, Remark
range, Remark
sinus curves, Definition
sinusoidal graphs, Definition
solstice
summer, Paragraph
winter, Paragraph
speed
angular, Definition
linear, Definition Definition
speed over ground (SOG), Example
standard position, Definition
Star Compass
Cook Island, Figure
Hawaiian, Paragraph
Māori, Figure
paafu, Paragraph
Sāmoan, Figure
stick chart, Paragraph
subtraction
of vectors, Definition
sum
of vectors, Definition
sum-to-product formula, Definition
sums of sines and cosines, Definition
swash, Exercise
terminal side, Definition
triangle inequality, Exercises
triangles
solving, Definition
trigonometric equations, Paragraph
trigonometric functions, Paragraph
circle of radius \(r\), Theorem
of angles, Definition
of real numbers, Definition
ratios, Definition
special, Paragraph
special values, Paragraph
true wind, Example
vectors, Paragraph
components of, Definition
direction, Paragraph Definition Definition
displacement, Definition
equal, Definition
equivalent, Definition
horizontal component, Definition
initial point, Definition
length, Definition
magnitude, Paragraph Definition Definition
position vector, Definition
resultant, Definition
terminal point, Definition
translation, Definition
unit vector, Definition
vertical component, Definition
vertical asymptote, Paragraph
vertical compression, Paragraph
vertical shift, Definition
vertical stretch, Paragraph
wave height, Exercises
wave period, Exercises
wind
apparent wind, Example
headwind, Example
true wind, Example
zero vector, Definition Definition
ʻōpeʻa, Paragraph
