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Chapter 1 Final Practice Test

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Convert 38o45'12" to decimal degrees

a)

38.95

b)

39

c)

38.753

d)

39.753

2.

Find the angle of the smallest positive measure with -239o.

a)

301o

b)

-599o

c)

121o

d)

211o

3.

A tire rotates 780 times per min. Through how many degrees does a point on the edge of the tire move in 1 sec?

a)

13o

b)

78o

c)

4680o

d)

280800o

4.

Find the measure of each marked angle.

a)

x = 25o, y = 125o

b)

x = 20o, y = 25o

c)

x = 20o, y = 35o

d)

x = 35o, y = 20o

5.

A lifeguard located 30 yd from the water spots a swimmer in distress. The swimmer is 40 yd from shore and 150 yd east of the lifeguard. Suppose the lifeguard runs, then swims to the swimmer in a direct line, as shown in the figure. How far east from his original position will he enter the water? (Hint: Find the value of x in the sketch)

a)

8.1 yd

b)

450 yd

c)

64.3 yd

d)

150 yd

6.

If (1, -6) is on the terminal side of an angle θ in standard position, find sin θ, cos θ, and tan θ

a)

Sin θ = √37/37, Cos θ = -6√37/37, Tan θ = -6

b)

Sin θ = -6 , Cos θ = √37/37, Tan θ = -6√37/37

c)

Sin θ = -6√37/37, Cos θ = √37/37, Tan θ = -6

d)

Sin θ = -6√37/37, Cos θ = √37/37, Tan θ = 1/-6

7.

If cos θ > 0 and cot θ < 0, what quadrant does θ terminate?

a)

I

b)

II

c)

III

d)

IV

8.

If cos θ = -3/5 and θ is in quadrant II, find the values of the other trigonometric functions of θ.

a)

Sin θ = 4/5, Tan θ = 4/3, Csc θ = 5/4, Sec θ = 5/3, Cot θ = 3/4

b)

Sin θ = 4/3, Tan θ = 4/5, Csc θ = 3/4, Sec θ = -5/3, Cot θ = 5/4

c)

Sin θ = 4/5, Tan θ = -4/3, Csc θ = 5/4, Sec θ = -5/3, Cot θ = -3/4

d)

Sin θ = 4/3, Tan θ = -4/5, Csc θ = 3/4, Sec θ = -5/3, Cot θ = -5/4

9.

Suppose θ is in the interval (90o, 180o). Find the sign of the function sin θ/2.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

10.

Find sin θ if csc θ = -10.

a)

-10

b)

10

c)

-1/10

d)

1/10