3 Group 7
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Question 1.
If
sin
α
=
1
2
,
α
∈
(
1
2
π
,
3
2
π
)
, then
a)
tg
α
=
3
3
b)
tg
α
=
0
c)
tg
α
=
-
3
3
d)
tg
α
is not defined
e)
tg
α
=
-
1
Question 2.
Compute
lim
x
→
-
∞
arccotg
x
π
+
2
arctg
x
, if exists.
a)
0
b)
+
∞
c)
-
1
2
d)
does not exist
e)
1
2
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
2
-
|
x
|
)
is
a)
⟨
-
2
,
2
⟩
b)
⟨
-
1
,
1
⟩
c)
⟨
0
,
2
)
d)
(
-
1
,
1
)
e)
(
-
2
,
2
)
Question 4.
Calculate
lim
x
→
+
∞
tg
(
π
-
arctg
x
)
, if exists.
a)
1
b)
0
c)
-
∞
d)
does not exist
e)
+
∞
Evaluate