Math 1060-2
Babenko V.
February 17, 2015
Test 1
Name:___________________________
UID#:____________________________
This is a closed book Test. No books, laptops, or messaging are permitted. NO calculators
are allowed. You have 12 problems, they are equal in weight. The entire exam is worth 12
points. For full credits show all work! Box your answer so it is easy to locate. You have 50
minutes.
GOOD LUCK!!!
1. a) Use the given values and trigonometric identities to evaluate (if possible) all six
trigonometric frinctiois.
2
tanO=—, secO=—.
—-43
—3
-
4.
-
-
_i__—
_)
co_
C0
-
2-
c—
-
—
.=
b) Determine the quadrant in which the angle from part a) lies.
V
2. a) Determine one positive and one negative coterminal angle
2ir
9
2h1r..29T
:
4
Poci
Zr
2-ir
2ff-i— —I71
-
b) Convert the angle measure from radians to degrees. Show all work!
5ir
20
3. Find the point (x,y) on the unit circle that corresponds to the real number t
2ir
3
t=—
f--i-
4. Find the exact values of the six trigonometric functions of the angle 0 shown in the figure
2.
9
çZ1
5.
cs=
a
g
-
-c5.
c6
--VMV
I—
C
\
(I
U
-F
c
b
fr
0•
c-t
CD
C
C
CD
2)
çjq
C
Li
CD
CD
C
CD
CD
Ci)
C
C
-
UD
C
9)
CD
CD
9)
9)
Ci)
C
CD
cr2
2)
CO
c-I
C
CD
9)
9)
CD
ci)
C
C)
CD
Ci)
CD
CD
9)
6. Sketch the graph of the function. Include two full periods.
y
=
2 + sinx
i
2.
7. Sketch the graph of the function. Include two full periods.
f(c)
I’
I
j///
‘i 1
I I
=
2tanx
p
8. Evaluate the expression
arccos
——
-r
9. Sketch the graph of the function. Indicate all x— and y— axes interceptions.
f (x)
(1,0)
=
arccos
10. The height of a radio transmission tower is 70 meters, and it casts a shadow of length
30 meters. Find the angle of elevation of the sun.
c2
30
c4-w
11. If possible, find the exact value.
—
a) tan[arctan(—3)]
—
b) cos [cos
1
(2n)]
1
5
‘2
s
4
-I
; 1-lit])
12. Find the exact value.
tan (arccos
-\
())
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
U
cCL
CP)L&
‘°
4
Total
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