NAME-------------~~:~·~~~~~---1
DATE----------- PERIOD
Chapter 6 Test. Form 2C
lT!
1. Change 405° to radian measure in terms of 7r.
1.
4
2. Change ~; radians to degree measure.
2.
15()
3. Determine the angular velocity if 88 revolutions are
completed in 5 seconds. Round to the nearest tenth.
3.
1.\0,~ n._J_"'~,!s
4. Determine the linear velocity of a point rotating at an
angular velocity of 77r radians per second at a distance
of 10 feet from the center of the rotating object. Round
to the nearest tenth.
4.
J\1c9\t/s
Los-,.:._
I~
,.,
5. The second hand of a clock is 10 inches long. Find the linear
velocity of the tip of the second hand.
5.
c, J. '11 ,.., I~.:._
6. Find the length of the arc intercepted by a central angle of
; radians on a circle of radius 8 inches.
6.
r-v
3, \ ,~
7. Find the area of a sector if the central angle measures
; radians and the radius of the circle is 9 meters.
8. Write an equation of the sine function with amplitude 2,
period 57r, phase shift -;, and vertical shift 3.
(')
8. '! _+"\
- - ol
,, ~
n
TT
Tl'\-t3.
·'\-'-ts:J
5
9. Write an equation of the tangent function with period 37r,
phase shift -7r, and vertical shift 2.
10. State the amplitude, period, phase shift, and vertical shift
fory
=~sin (2x- ~).
3
3)
-:J
11. State the period, phase shift, and vertical shift for
y =tan (3x - 7r) - 2.
11. - - - - - - - -
12. Write the equation for the inverse of y = Arccos (x - 5).
12. '\-::.
13. Evaluate tanG Cos- 1 0).
13. _ _\.!______ _
© Glencoe/McGraw-Hill
143
Co:-. X. + 5'
Advanced Mathematical Concepts
NAME ____________________
DATE-------- PERIOD _ __
Chapter 6 Test. Form 2C
(continued)
The average monthly temperatures in degrees Fahrenheit for the
Spokane International Airport, in Washington, are given below.
14. Write a sinusoidal function that models the
monthly temperatures in Spokane, using t = 1 to
represent January.
15. According to your model, what is the average
temperature in March?
Graph each function.
16. y = cos x for ~ < x :5
s' (\.
15.
y
1
s;
16.
0
<
x
:5
~
17.
21T
X
'"
'
s;
~
\:/
-1
17. y = tan x for-
c
'Sl . ::,
111T I j.t,. ~if 0 I
\
I
I
I
'
t
,
"";'
I
l
I
I
y
18.y = 3 sin(~)
3
2
1
18.
X
.ly \)''1
U
I
I
1~.
y = sec (x -
'lT)
+3
6
5
4
'3
19.
12
11
-'lT
~JI
h
I
1
'
'
I
I
1
e
I
1
II
~~.
:(\
'lT
t
:12'lT
I
I
'
y
~)
20. y = Arcsin x
20.
-i~O
1
X
•
-~
Bonus Evaluate tan (Arccos~)·
© Glencoe/McGraw-Hill
Bonus:
144
Advanced Mathematical Concepts