Unit Circle, Harmonic Motion. Flashcards Preview

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Flashcards in Unit Circle, Harmonic Motion. Deck (26)
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1

30°

π/6 (√3/2, 1/2)

2

45°

π/4 (√2/2, √2/2)

3

60°

π/3 (1/2, √3/2)

4

90°

π/2 (0,1)

5

120°

2π/3 (-1/2, √3/2)

6

135°

3π/4 (-√2/2, √2/2)

7

150°

5π/6 (-√3/2, 1/2)

8

180°

π (-1,0)

9

210°

7π/6 (-√3/2, -1/2)

10

225°

5π/4 (-√2/2, -√2/2)

11

240°

4π/3 (-1/2, -√3/2)

12

270°

3π/2 (0, -1)

13

300°

5π/3 (1/2, -√3/2)

14

315°

7π/4 (√2/2, -√2/2)

15

330°

11π/6 (√3/2, -1/2)

16

0 (1,0)

17

Period-

Amount of time it takes to complete one cycle.

18

Harmonic Motion Formula-

d = asinwt or d= acoswt

19

w=

b

20

Frequency-

the number of cycles completed per unit of time

21

Frequency formula-

reciprocal of the period: w/2π

22

Period formula-

2π/w

23

Amplitude

|a|

24

Tangent=

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.