1.
Express
as a trigonometric function of an angle in Quadrant I.
A.
B.
C.
D.
Hint
2.
If csc
= 2, find sin
.
A.
B.
C.
D.
2
Hint
3.
Complete the identity csc
x
(cos
x
- sec
x
) = ________.
A.
tan
x
B.
-cot
x
C.
-tan
x
D.
cot
x
Hint
4.
Complete the identity
_______.
A.
tan
x
B.
cot
x
C.
csc
x
D.
sec
x
Hint
5.
Consider the equation -
x
+ 2
y
- 5 = 0. Find the length of the normal and the angle it makes with the positive
x
-axis.
A.
; 297°
B.
; 117°
C.
; 243°
D.
; 63°
Hint
6.
Complete the identity
______________.
A.
-cos
A
B.
-sin
A
C.
cos
A
D.
sin
A
Hint
7.
Find the distance between
P
(5, -3) and the line with equation
5
x
+ 12
y
= 18.
A.
B.
C.
D.
13
Hint
8.
Find the value of cos (
x
-
y
) if 0 <
x
<
, 0 <
y
<
, sin
x
=
, and cos
y
=
.
A.
B.
C.
D.
Hint
9.
If sin
=
, find cos 2
.
A.
B.
-
C.
D.
-
Hint
10.
Use a half-angle identity to find the exact value of tan
.
A.
-
B.
-
C.
D.
Hint
11.
Solve 4 sin
2
x
> 3 for 0
x
.
A.
0
x
B.
C.
D.
Hint
12.
Solve
for 0
x
< 2
.
A.
B.
C.
D.
Hint
13.
The point nearest to the origin on a line is (9, 3). Find the standard form of the equation of the line.
A.
x
- 3
y
= 0
B.
x
+ 3
y
- 18 = 0
C.
3
x
+
y
- 30 = 0
D.
3
x
-
y
- 24 = 0
Hint
14.
What is the distance between the lines given by the equations
5
x
- 2
y
= 14 and
y
=
x
- 9?
A.
0
B.
C.
D.
Hint