SOHCAHTOA Sine=Opp/Hyp Cosine=Adj/Hyp Tan=Opp/Adj ( ) ( )

SOHCAHTOA: Sine=Opp/Hyp Cosine=Adj/Hyp Tan=Opp/Adj
2D Polar Coordinates
From Unit Circle:
(x,y)
1
r
x = rcos()
y = rsin()
sin()
h
cos()
360 o = 2 radians ( ) and ( )
( )
Similar Triangles:
( )
1
( )
( )
( ) ( ) Common Degree to Radian Conversions:
( ) ( )
( )
( )
( )
( ) ( )
( ) ( )
Degrees Radians
0 0
30 /6
45 /4
60 /3
90 /2
Sin() Cos()
0 0 1
/6 1/2 (3)/2
/4 (2)/2 (2)/2
/3 (3)/2 1/2
/2 1 0
Star
Sin = +
Trig
Tan = +
All
All = +
Class
Cos = +

Reciprocal and Inverse functions:
( )
( ) , ( ) ( ) , ( ) ( )
If sin() = x, then ≠ x/sin. Sine is a function, therefore, you have to take the inverse to solve
for : = sin -1 (x) = arcsin(x) = asin(x).
Double Angle Formulas:
( ) ( ) ( )
( ) ( ) ( ) ( ) ( ( )) ( )
( )
( )
( )
Angle Addition Formulas:
( ) ( ) ( ) ( ) ( )
( ) ( ) ( ) ( ) ( )
( )
( ) ( )
( ) ( )
Trig Function Graphs:
Sine:
1
0
/2 3/2 2
-1
Cosine:
1
0
/2 3/2 2
-1

In general: A+Bcos(t+)
A: Shifts the graph up (+) or down (-) along the y-axis.
B: Amplitude of the wave. Shrink (small) and stretch (large) along the y-axis.
: Frequency of the wave. Shrink (large) and stretch (small) along the x-axis.
: Shifts the graph right (-) and left (+) along the x-axis. (ex: sin() = cos(-90 o ))
T: Period of the wave. T = 2/