1.
Complete the identity
= ________.
A.
tan
x
B.
sin
x
C.
cot
x
D.
cos
x
Hint
2.
What is the distance from the origin to the graph of 3
x
+ 4
y
+ 12 = 0?
A.
5
B.
C.
12
D.
Hint
3.
Simplify the expression sin
x
+ 4 cos
x
+ 2 sin -
x
- 2 cos -
x
A.
1
B.
3 sin
x
+ 2 cos
x
C.
0
D.
2 cos
x
- sin
x
Hint
4.
Which of the following is a valid trigonometric identity.
A.
tan
2
+ cot
2
= sin
cos
B.
Tan
2
+ cot
2
= sec
csc
C.
tan
+ cot
= sin
cos
D.
tan
+ cot
= sec
csc
Hint
5.
Complete the identity sin
4
x
- cos
4
x
= __________.
A.
tan
4
x
B.
0
C.
1
D.
sin
2
x
- cos
2
x
Hint
6.
Find a numerical value of one trigonometric function of
x
if
sin
x
(tan
x
+ cot
x
) = 2.
A.
csc
x
=
B.
sin
x
=
C.
cos
x
=
D.
sec
x
=
Hint
7.
Use the sum or difference identity for tangent to find the exact value of tan 165°.
A.
-
B.
- 2
C.
1
D.
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.
Solve
+ 1 = 2 sin
x
for all real values of
x
.
A.
k
B.
+ 2
k
C.
+
k
D.
+ 2
k
Hint
11.
Solve sec
2
x
=
- 2 for -90° <
x
< 90°.
A.
-60°, 60°
B.
-30°, 30°
C.
0°
D.
60°
Hint
12.
For the line given by the equation 5
x
- 7
y
+ 24, what is the length of the normal through the origin?
A.
B.
2
C.
D.
24
Hint
13.
For the line given by the equation 5
x
- 7
y
+ 24, what is the angle formed by the
x
-axis and the normal through the origin?
A.
36°
B.
54°
C.
126°
D.
144°
Hint
14.
Find the distance between the lines given by the equations
y
=
x
-
and 2
x
- 5
y
= 28.
A.
B.
C.
D.
Hint