# Chapter 4 Review

```Name ______________________________________ Hour ______ Pre-Calculus
Chapter 4 Review
Convert the angle measurement to decimal form. Round to two decimal places.
1.  5612' 30&quot;
2. 14215&quot;
Convert the angle measurements to DM ' S &quot;.
3.  114.245
4. 23.60
Convert the angle measurement from degrees to radians. Leave #5 in terms of  and
round #6 to two decimal places.
5. 320
6.  155'
Convert the angle measurement from radians to degrees. Round #8 to two decimal
places.
7.
13
6
8. 2.36
Find the remaining five trigonometric functions of  satisfying the conditions. Sketch
a reference triangle in the correct quadrant first.
9. sec  =
17
8
sin  &lt; 0
4
5
cos  &lt; 0
10. cot  =
Find the six trigonometric functions of the angle  (in standard position) whose
terminal side passes through the point.
11. (3, –6)
Evaluate the trigonometric functions without the aid of a calculator. Sketch a
reference triangle in the correct quadrant first.

12. sin 120
13. cot
 5 
14. sec 
 4 
15. csc180
6
Use a calculator to evaluate the trigonometric function. Round to two decimal places.
16. sec 47
17. cot
8
3
Find two values of  in degrees 0    360 and in radians 0    2  without
using a calculator. Sketch reference triangles in the correct quadrants first.
18. sin  
2
2
19. tan   0
Write an algebraic expression for the following trigonometric function.
3

20. tan arcsin 
x

Sketch a graph of the function. Name the equation of the centerline, the amplitude,
the phase shift, the period, and the increment for each function.
21. y  3  sin 2 x
Centerline
______________
Amplitude
______________
Phase Shift
______________
Period
______________
Increment
______________
1
 2x  
22. y  cos  
3  3
4
Centerline
______________
Amplitude
______________
Phase Shift
______________
Period
______________
Increment
______________


23. y  4  2 cos 2 x  
3

Centerline
______________
Amplitude
______________
Phase Shift
______________
Period
______________
Increment
______________
Sketch a graph of the following function.
24. y  tan x
2 

25. y  2  csc x  
3 
4
26. y  4 sec 3x
```