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Mathematics
Mathematics
Problem
For how many real numbers
x
x
x
in the interval
(
0
,
1
)
(0,1)
(
0
,
1
)
does the inequality
arcsin
x
>
arctan
x
\arcsin x>\arctan x
arcsin
x
>
arctan
x
hold? a) No
x
x
x
in
(
0
,
1
)
(0,1)
(
0
,
1
)
b) Only
x
x
x
in
(
0
,
1
2
)
(0,\tfrac12)
(
0
,
2
1
)
c) All
x
x
x
in
(
0
,
1
)
(0,1)
(
0
,
1
)
d) Exactly one value of
x
x
x
in
(
0
,
1
)
(0,1)
(
0
,
1
)
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