Semester 2 Final Review

Unit Circle

100

What quadrant is 225^o in?`

Quadrant 3

200

what is the reference angle for 240^o

60^o

300

what is the coordinates 7*pi/6

( - sqrt(3)/2  ,  -1/2 )

400

What is the cos(3pi/4) 

-sqrt(2)/2

500

what is the tangent of 11pi/6

- 1/sqrt(3)

Radians & Degrees

100

Convert 225^o to radians

5*pi/4

200

Convert 270^o to radians

2pi/2

300

Convert 7pi/6 to degrees

210^o

400

Convert 5pi/6 to degrees

150^o

500

1.5 radians

85.94

Random

100

what is the reference angle of 135^o

45^o

200

what is the center of the following circle

(x - 2)² + (x+5)² = 16

(2, -5)

300

what is the arc length if the angle of the sector of 75 and the radius is 7

9.16  

400

What is the area of the sector if the angle is 43^o and the radius is 6.5?

15.85

500

what are the coordinates of 5pi/3

 ( 1/2 , sqrt(3)/2) 

Waves

100

what is the midline  

 y = 7*sin(2x)+ 4

 y = 4

200

what is the amplitude of the wave below

y = 8*cos(5x)+3

Amplitude = 8

300

what is the equation of the cosine wave when the amplitude is 3, the period is 5pi and the midline is -2? 

y = 3* cos(2pi/5) - 2

400

What is the equation of the sine wave if the amplitude is pi, the period is 1 and the midline is 2pi?

y = pi*sin(2pi*x) +2pi

500

What is the value of b in the equation 

y = 3cos(b) -2 if the period is 5/2 ?

b = 4pi/ 5

Law of COS and Sine

100

What are the two situations that you would use the Law of Cosine?

Side - Angle - Side

Side - Side - Side

200

If I have triangle RST, write down the law of sine for the triangle?

sin(R)/r = sin(T)/t = sin(S)/s

300

In ΔUVW, w = 35 cm, u = 86 cm and ∠V=126°. Find the length of v?

 v = 110.27cm

400

In ΔDEF, f = 9.2 cm, ∠F=72° and ∠D=61^o, find the length of d. 

 d = 8.46cm

500

In ΔRST, s = 97 cm, r = 105 cm and t = 40 cm. Find the angle between the smallest and largest side.

 angle S = 67.49