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GSE PreCalculus
Test 3 Review: Introduction to Trig
Name______________________________
NON - CALCULATOR
Complete the missing information in the following table:
Degrees
0
45
7
6

6
Radians
 
225

4
3
Coordinates
Evaluate the following:
1) csc 45 __________________
4) cot

2
___________________
2) tan
3
________________
4
 5
5) sec  
 6

 ________________

7) tan  315  ________________ 8) cos ____________________
3) cos  30  __________________
6) sin
11
____________________
4
9) sec  8  __________________
10) sec ( 
3
9
)________________ 11) cos(
)_________________
2
2
12) tan( 
13) sin ( 
11
)________________ 14) cot ( 210 )_______________
6
15) csc (  )__________________
16. Find the reference angle, 1 positive, and 1 negative coterminal angle.
a.

5
7
b.  
17
6

3
)___________________
17) Find the six trig functions of the angle  (in standard position) whose terminal side passes through
the point  3, 6 .
sin  
csc  =
cos  
sec  =
tan  
cot =
18) Find the six trig functions of the angle  (in standard position) given:
csc   5;cos  0
sin  
csc  =
cos  
sec  =
tan  
cot =
19) Find the remaining five trig functions of  satisfying the given conditions.
tan  
15
,
8
Quadrant II
sin  
csc  =
cos  
sec  =
tan  
cot =
Sketch the following angles in standard position.
20. 75°
21. - 420°
Name the quadrant.
15
22. 
8
23.
7
20
Convert from radians to degrees. Round to 3 decimal places.
17
7
24.
25. 
15
5
Convert from degrees to radians, in terms of .
26. 220°
27. -648°
7
radians in a
4
arc = radius  radians
28. Find the measure of the arc intercepted by a central angle measuring
circle of radius 6 cm. Round to 2 decimals.
Cumulative Review Questions: Tests 1 and 2
 x 2
8
1. Solve for x and y: 3 
 2

-1 4 
1
4
-1
7
2
-3  2

y  5
-12
8 
2.
Evaluate:
3.
Identify the type of conic: circle, parabola, ellipse, hyperbola
( y  1)2 x 2
(x  2)2 (y  1) 2
a.
b.

1

1
9
16
10
4
4. Write the equation of a circle with center (-4, 1) and radius = 5.
5.
Write the equation of a parabola with vertex (1, 3) and directrix x = -3