8/6/2019 [Notes] Trigonometry
2/3
The b earing of a particular location P from an observer
O contains two components:
1] the acute angle line OP makes with the north-south
line;and
2] an indication if the angle is formed towards the east or
west
A course or heading of a ship or plane is the angleformed with
the initial side at the north ray measured
clockwise; if the ship is due north, then its course is 0;
dueeast, 90; due south, 180; due west, 270.
8/6/2019 [Notes] Trigonometry
3/3
Sine Cosine
Standard formula of sine and cosine functions:f( )=a sinb g( )=a
cos b
Properties of the sine and cosine functions:y the domain of the
co/sine function is and the range is
y|-1 y 1 y the maximum value of the co/sine function is 1 and
the
minimum value is -1y the co/sine function is a continuous
function; it has no
break in its graphy the sine function is periodic
The period is the length of interval needed to completeone
cycle; 2 |b|
The amplitude is half of the absolute difference betweenthe
maximum value and the minimum value; |a|
Translations of the graphs of sine and cosine
Sine f =asinb -h +kCosine g =acos b -h +k
Domain Range [- a +k, a +k]P eriod [h,h+p]
y if h>0 then the graph shifts to the righty if h0 then the
graph shifts upwardy if k
