3 Group 2
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Question 1.
If
sin
α
=
1
2
,
α
∈
(
1
2
π
,
3
2
π
)
, then
cos
2
α
is equal to
a)
0
b)
-
3
2
c)
3
2
d)
-
1
2
e)
1
2
Question 2.
Compute
lim
x
→
-
∞
(
x
·
(
x
2
+
4
-
x
)
)
.
a)
-
∞
b)
2
c)
+
∞
d)
-
2
e)
0
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
1
-
sin
x
)
is
a)
ℝ
-
⋃
k
∈
ℤ
{
1
2
π
+
2
k
π
}
b)
ℝ
-
⋃
k
∈
ℤ
{
k
π
2
}
c)
ℝ
d)
ℝ
-
⋃
k
∈
ℤ
{
3
2
π
+
2
k
π
}
e)
⋃
k
∈
ℤ
(
k
π
,
(
k
+
1
)
π
)
Question 4.
The domain of definition of the function
f
(
x
)
=
log
(
2
-
x
)
+
log
(
2
+
x
)
is the set
a)
⟨
-
2
,
2
⟩
b)
(
-
2
,
2
)
c)
(
-
∞
,
-
2
)
∪
(
2
,
+
∞
)
d)
(
0
,
+
∞
)
e)
⟨
-
2
,
1
)
Evaluate