Precalculus II

Chapter 6 Test

Question 1 Find the reference angle. θ = 240°

a. 30° b. 40° c. 50° d. 60°

Question 2 Find the reference angle. θ = 105°

a. 105° b. 75° c. 15° d. 195°

Question 3 Find the reference angle. Θ=− 7 π 4

a. π 4

b. 3π 4

c. − π 4

d. − 3π 4

Question 4 Find the value of sin θ if tan θ = − √55

5 and cos θ<0 .

a. − 4 √5

5 b.

4 √11 11

c. −√5 4

d. √11 4

Question 5 Find the value of sec θ if tan θ=− √114 19

and sin θ>0 .

a. − 5 √19

19 b. − √19

5 c. − √6

5 d.−

5 √6 6

Question 6 In the triangle below,c= 173 cm. Solve the triangle for sides a and b, rounding to two decimal places.

a. a = 222.61 cm , b = 274.90 cm b. a = 274.90 cm, b = 222.61 cm

c. a = 134.45 cm, b = 108.87 cm d. a = 108.87 cm, b = 134.45 cm

Question 7 Find the measure of angle θ to the nearest tenth of a degree.

10 yd

20 yd

a. 63.4° b. 64.3° c. 64.7° d. 65.1°

Question 8 A person is standing 250 feet from a building. The angle to the top of the building relative to the horizon is 63.1°. How tall is the building?

a. 491.4 ft b. 492.8 ft c. 494.0 ft d. 494.6 ft

Question 9 y = −8sin ( 13 x ) State the amplitude. a. 8 b. –8 c. 5 d. –5

Question 10 y=6sin ( 13 x) State the period.

a. π 3

b. 2 π 3

c. 3π d. 6 π

Question 11 The graph below is of the form y=Asin (Bx) . Write the equation corresponding

to the graph.

a. y=−3sin(8x ) b. y=3sin (4x ) y=3sin ( 18 x) d. −3sin( 1 8

x)

Question 12 y=180sin( π

9 (x−10)) Identify the amplitude.

a. 7 b. –7 c. 180 d. –180

Question 13 y=180sin( π

9 (x−10)) Identify the period.

a. π

6 b. 18 c. 3 d. 6π

Question 14 y=6cos( π

20 (x−10)) Graph the function for 0 ≤ x ≤ 60.

a. b.

c. d.

Question 15 Graph y=5csc(2x) .

a. b.

c. d.

Question 16 Find the exact value. arccos(− √22 ) a. − π

4 b. π

4 c. 2 π

3 d. 3 π

4

Question 17 Find the exact value. sin−1 (−1)

a. 0 b. π 2

c. 3π 2

d. − π 2