Unit Circle, Harmonic Motion.

Question 1

30°

Answer 1

π/6 (√3/2, 1/2)

Question 2

45°

Answer 2

π/4 (√2/2, √2/2)

Question 3

60°

Answer 3

π/3 (1/2, √3/2)

Question 4

90°

Answer 4

π/2 (0,1)

Question 5

120°

Answer 5

2π/3 (-1/2, √3/2)

Question 6

135°

Answer 6

3π/4 (-√2/2, √2/2)

Question 7

150°

Answer 7

5π/6 (-√3/2, 1/2)

Question 8

180°

Answer 8

π (-1,0)

Question 9

210°

Answer 9

7π/6 (-√3/2, -1/2)

Question 10

225°

Answer 10

5π/4 (-√2/2, -√2/2)

Question 11

240°

Answer 11

4π/3 (-1/2, -√3/2)

Question 12

270°

Answer 12

3π/2 (0, -1)

Question 13

300°

Answer 13

5π/3 (1/2, -√3/2)

Question 14

315°

Answer 14

7π/4 (√2/2, -√2/2)

Question 15

330°

Answer 15

11π/6 (√3/2, -1/2)

Question 16

0°

Answer 16

0 (1,0)

Question 17

Period-

Answer 17

Amount of time it takes to complete one cycle.

Question 18

Harmonic Motion Formula-

Answer 18

d = asinwt or d= acoswt

Question 19

w=

Answer 19

b

Question 20

Frequency-

Answer 20

the number of cycles completed per unit of time

Question 21

Frequency formula-

Answer 21

reciprocal of the period: w/2π

Question 22

Period formula-

Answer 22

2π/w

Question 23

Amplitude

Answer 23

|a|

Question 24

Tangent=

Answer 24

sin/cos

Question 25

Coordinates on Unit Circle=

Answer 25

(cos, sin) (x,y)

Question 26

SSA- Ambiguous Case

Answer 26

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.