Download ExamView - Pre-Calculus Chapter 4.1

Name: ____________________________ Period: ___
ID: A
Pre- Calculus Chapter 4.1 - 4.4 Practice Test
16. In the accompanying diagram, mA  33 and
1. Factor. x 3  2x 2  25x  50 .
AC = 30. Write an equation to find y in
ABC ?
2. Find the zeros of the function f(x)  x 2  5x  14 .
3. If f(x)  9x  5 , find f 1 (x) .
17. If cot 
4. Which equation is equivalent to log 8
1
 x?
3
18. Determine the quadrant in which the terminal side
7
of
lies.
6
5. Rewrite log 9 5.
6. Write in standard form.
5
, find sec .
12
8
1  11i
19. Find the exact values of the six trigonometric
functions.
7. What are the solutions to the equation
s 2  2s  7  0?
8. Solve for x. log3 x  4
9. Describe the transformation from f(x)  5 x to
g(x)  5
10. Solve.
(x  2)
 1.
log10 49  2log 10 x
11. Convert to degrees:
9
20
12. Find the least negative coterminal angle to 220.
13. Find the least positive coterminal angle to –140.
14. Find a complementary angle to
15. Find a supplementary angle to

9

5
20. Find the exact values of the six trigonometric
functions, if  is in standard position and its
terminal side passes through the point (–9, 6).
.
.
1
ID: A
21. Find the exact values of the six trigonometric
3
functions, if sin  =  and tan > 0.
7
39. What is the approximate height, in feet, of the tree
in the figure below?
22. Find the exact value of sin 0.
23. Find the exact value of tan

2
.
24. Find the exact value of cos  .
25. Find the exact value of csc
3
.
2
26. Find the exact value of cot 2 .
27. Find the exact value of cos
28. Find the exact value of sin
29. Find the exact value of tan

6

4

3
.
40. Kayla wants to find the height of a tree outside her
home. She measures the slope angle of 28°. If
Kayla’s eye level is 4 feet above the ground and she
is standing 25 feet from the tree, how tall is the
tree? Label the diagram and show all work.
Geom 19.0
.
.
30. Find the exact value of cot
2
.
3
31. Find the exact value of cos
3
.
4
32. Find the exact value of sec
5
.
6
33. Find the exact value of sin
7
.
6
41. The diagram shows an 10-foot ladder leaning
against a wall. The ladder makes a 47° angle with
the wall. Which is the closest to the distance up the
wall the ladder reaches?
5
.
34. Find the exact value of sec
4
35. Find the exact value of cot
4
.
3
36. Find the exact value of cos
5
.
3
37. Find the exact value of tan
7
.
4
38. Find the exact value of csc
11
.
6
2
ID: A
42. In the figure below, sinF  0.8 and tanF  1.19 .
What is the length of EF ?
3
ID: A
Pre- Calculus Chapter 4.1 - 4.4 Practice Test
Answer Section
1. (x  5 )(x  5 )(x  2 )
2. –7, 2
x  5
3. f 1 (x) 
9
1
4. 8 x 
3
log5
5.
log9
6.
8
88

i
122 122
7. s  1  6i
1
8. x  
81
9. 2 units left and 1 units down
10. 7
11. 81
12. –140
13. 220
7
14.
18
4
15.
5
16. y 
30
cos 33
17. sec 
13
5
18. III
8
10
,cos  
,
2 / 41
2 / 41
8
tan  
,
10
2 / 41
2 / 41
csc  
,sec  
,
8
10
10
cot  
8
19. sin  
1
ID: A
6
9
,cos  
,
3 / 13
3 / 13
6
tan  
,
9
3 / 13
3 / 13
csc  
,sec  
,
6
9
9
cot  
6
3
1/7
2 / 10
1/7
1/7
3
sin   , cos  
, tan  
, csc   
, sec   
, cot  
7
7
3
2 / 10
3
2 / 10
0
undefined
1
-1
undefined
20. sin  
21.
22.
23.
24.
25.
26.
27.
3
2
28.
2
2
29.
3
30. 
3
3
31. 
2
2
2 3
3
1
33. 
2
32. 
34. 
35.
36.
37.
38.
39.
40.
41.
42.
2
3
3
1
2
1
-2
6.95
17.3 ft.
6.82
8.1
2