Download MAC 1114, Fall 2012 Exam #1 (Non-calculator portion

MAC 1114, Fall 2012
Exam #1 (Non-calculator portion), 2pm, Version A
This portion of the exam has 13 questions on 2 pages. Make sure your copy has all the
questions. NO CALCULATORS ARE ALLOWED FOR THIS PORTION OF THE EXAM.
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the exact value of the indicated trigonometric function of θ.
4
8) tan θ = - , θ in quadrant II
Find cos θ.
9
A)
9 97
97
B) -
9 97
97
8)
97
9
C) -
D)
97
4
In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.
7 3
9) (, )
Find cot t.
9)
4 4
A)
3
4
B)
7
4
C) -
4
3
7
3
D) -
Find the exact value.
π
10) cot (- )
2
A) 1
10)
B) -1
C) 0
D) undefined
11) sec 45°
2
A)
2
11)
2 3
B)
3
C)
Name the quadrant in which the angle θ lies.
12) sec θ < 0, tan θ < 0
A) I
B) II
2
D)
3
12)
C) III
D) IV
Find the exact value of the expression.
π
π
13) sin - cos
3
6
A) 1
14) cos
B)
13)
3
C)
3-1
2
D) 0
π
5π
+ tan
3
3
A)
1-2 3
2
14)
B)
2 3+3
6
C)
1
3+3
3
D)
3+1
2
Solve the problem.
15) For what numbers θ is f(θ) = sec θ not defined?
15)
A) integral multiples of π (180°)
B) all real numbers
C) odd multiples of π (180°)
D) odd multiples of
π
(90°)
2
16) What is the range of the cosine function?
A) all real numbers from -1 to 1, inclusive
B) all real numbers greater than or equal to 1 or less than or equal to -1
C) all real numbers greater than or equal to 0
D) all real numbers
Use the even-odd properties to find the exact value of the expression.
17) sin (-60°)
1
3
3
A)
B)
C) 2
2
2
16)
17)
D) -
1
2
Use the fact that the trigonometric functions are periodic to find the exact value of the expression.
11π
18) sec
4
A) -
2 3
3
B) - 2
C)
2
2
D) -2
Use the properties of the trigonometric functions to find the exact value of the expression.
sin 50°
19) tan 50° cos 50°
A) 0
20) sec2 35° - tan2 35°
A) 0
18)
B) 1
C) 50
D) undefined
B) 1
C) -1
D) 2
19)
20)
2
Answer Key
Testname: EXAM1(091412)(NON-CALCULATOR)2PMVERSIONA
8) B
9) D
10) C
11) C
12) B
13) D
14) A
15) D
16) A
17) C
18) B
19) A
20) B
3