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PRE-CALCULUS
WS 222
NAME _______________________________
PERIOD ______ DATE __________________
WRITE THE WORD TRUE OR FALSE IN EACH BLANK. IF IT IS FALSE,
CORRECT THE STATEMENT TO MAKE IT A TRUE ONE.
True
1)
The sine ratio of any angle will never be greater than one.
True
False
2)
The point (1,0) on the unit circle corresponds to  = 0.
3)
If P = (x, y) is a point on the unit circle and  is the
corresponding angle then cos  = y.
True
False
4)
sin

=y
90 is a quadrantal angle.
5) The terminal side of angle 410 is in quadrant III.
FILL-IN THE BLANK WITH THE CORRECT MATHEMATICAL TERM.
6)
60 and 420 are known as co-terminal angles since their terminal
sides are the same.
7)
A/an degree is 1/360 of a circle. It is the measurement of an angle
created by the Babylonians.
8)
The circumference of a circle is found by the formula C = 2r .
A/an radian is the measurement of a central angle whose intercepted
arc is the length of the radius of the circle.
10)
Trigonometry is the branch of mathematics that deals with the ratios
between the sides of a right triangle with reference to either acute angle,
the relations between these ratios, and the application of these facts in
finding the unknown sides or angles of any triangle, as in surveying,
navigation, engineering, etc.
WITHOUT A CALCULATOR. PLEASE STATE THE VALUE OF THE
FOLLOWING: (PLEASE CHECK YOUR WORK WITH A CALCULATOR!)
11)
cos 45 
12)
sin 30
13)
sin 90
9)
1
2
2
2
14)
cos 60
15)
1
2
17)
1
tan 45
16)
1
log232
5
18)
log3(1/81)
-4
cos 270
0
19)
ln 1
0
Using the graph at the right, please
answer the following questions:
20) Period: 4 units
y=1
Amplitude: 2.5 units
21) Midline:
22)
Using the graph at the right, please
answer the following questions:
23) Period: 2 units
y = -3.5
Amplitude: 1.5 units
24) Midline:
25)
26)
Sketch 331 in standard position
27)
28)
angle 315 intersects with the unit circle.
F 2 , 2 I
GH 2 2 JK
Given a circle with a radius of 9 inches, find the coordinates of the point
where angle 356 intersects with the circle. Round answers to the nearest
hundredth.
(8.98, -0.63)
29)
30)
What is the reference angle for -287?
73
What angle has the point of intersection of (0, -1) with a unit circle?
270
31)
-210
32)
II
34)
500
II
5.1 radians
33)
2
radians
7
IV
35)

radians
2
POSITIVE Y-AXIS
I