3 Group 9
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Question 1.
If
cos
α
=
-
3
2
,
α
∈
(
0
,
π
)
, then
a)
tg
α
is not defined
b)
tg
α
=
3
3
c)
tg
α
=
0
d)
tg
α
=
-
3
3
e)
tg
α
=
-
1
Question 2.
Calculate
lim
x
→
+
∞
(
x
2
+
5
5
x
2
+
1
)
x
.
a)
0
b)
1
5
c)
+
∞
d)
1
e)
5
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
1
-
sin
x
)
is
a)
ℝ
-
⋃
k
∈
ℤ
{
3
2
π
+
2
k
π
}
b)
ℝ
-
⋃
k
∈
ℤ
{
k
π
2
}
c)
ℝ
d)
ℝ
-
⋃
k
∈
ℤ
{
1
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)
(
0
,
+
∞
)
d)
⟨
-
2
,
1
)
e)
(
-
2
,
2
)
Evaluate