Unit Circle, Harmonic Motion. Flashcards
1
Q
30°
A
π/6 (√3/2, 1/2)
2
Q
45°
A
π/4 (√2/2, √2/2)
3
Q
60°
A
π/3 (1/2, √3/2)
4
Q
90°
A
π/2 (0,1)
5
Q
120°
A
2π/3 (-1/2, √3/2)
6
Q
135°
A
3π/4 (-√2/2, √2/2)
7
Q
150°
A
5π/6 (-√3/2, 1/2)
8
Q
180°
A
π (-1,0)
9
Q
210°
A
7π/6 (-√3/2, -1/2)
10
Q
225°
A
5π/4 (-√2/2, -√2/2)
11
Q
240°
A
4π/3 (-1/2, -√3/2)
12
Q
270°
A
3π/2 (0, -1)
13
Q
300°
A
5π/3 (1/2, -√3/2)
14
Q
315°
A
7π/4 (√2/2, -√2/2)
15
Q
330°
A
11π/6 (√3/2, -1/2)
16
Q
0°
A
0 (1,0)
17
Q
Period-
A
Amount of time it takes to complete one cycle.
18
Q
Harmonic Motion Formula-
A
d = asinwt or d= acoswt
19
Q
w=
A
b
20
Q
Frequency-
A
the number of cycles completed per unit of time
21
Q
Frequency formula-
A
reciprocal of the period: w/2π
22
Q
Period formula-
A
2π/w
23
Q
Amplitude
A
|a|
24
Q
Tangent=
A
sin/cos
25
Coordinates on Unit Circle=
(cos, sin) (x,y)
26
SSA- Ambiguous Case
Use the given angle to find the top angle. Subtract it from 180. Check if it works like that by finding other angle and checking if it fits.
