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Algebra II
WS 310
Name_______________________________
Date____________________Period______
Find the reference angle for each angle given.
1.
305
2.
55
4.
100
168
3.
12 
80 
163
5.
17 
280
425
6.
80 
65
Find the exact values of the six trigonometric functions of
side of  in standard form.
7.
sin 
5
5
10.
csc 
5
 given the point (-4, 2) on the terminal
8.
cos 
2 5
5
9.
tan 
1
2
11.
sec 
 5
2
12.
cot  
2
Find the exact values of the sine, cosine, and tangent functions of each angle.
210
30  )
( III
135 ( II 45 )
13.
sin 
1
2
16.
sin 
2
2
14.
cos 
 3
2
17.
cos 
 2
2
15.
tan 
3
3
18.
tan 
1
300
19.
sin 
20.
cos 
21.
25.
tan 

90
( I 60 )
3
2
1
2
3
22.
sin 
1
23.
cos 
0
24.
tan  undefined
A cement patio is to be made in the shape of a right triangle with a hypotenuse of 30 feet.
If the two legs of the right triangle are to be equal, find all the side and angle measures
for the patio.
mA  45 
mA B  30 feet
mB  45

mA C  15 2 feet
mC  90 
mC B  15 2 feet
2
2 2
26. Quadrant IV, sin    , find tan  .
5
21
-----------------------------------------------------------------------------------------------------------tan  
WRITE THE WORD TRUE OR FALSE IN EACH BLANK. CORRECT THE FALSE.
______true ________27.
______true ________28.
In quadrant four, the cosine of a reference angle is always
positive.
A reference angle is always a positive acute angle.
______true ________29.
sin 30 = cos 60
_____false ________30.
In a 30-60-90 right triangle, the shortest leg of the triangle
is equal to half of the hypotenuse.
(3x – 5)2 = 9x2 – 30x + 25
_____false_________ 31.
SOLVE THE FOLLOWING TRIANGLES: ROUND SIDES TO THE NEAREST TENTH
AND ROUND ANGLES TO THE NEAREST DEGREE.
A
35.2 ft.
B
B
17
135.1 cm
A
98.4 cm
C
C
10.8 feet
35. mBC
92.6 cm
33. mAC 36.8 feet
36. mA
43
34. C
37. mB
47 
32. mBC
73
38. A ski slope is 580 meters long with a vertical drop of 150 meters. At what angle
does the skier descend?
sin  
150
580
The skier descends at about a 15  .