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Mathematics
Problem
Let
0
<
x
<
y
<
1
0<x<y<1
0
<
x
<
y
<
1
. Which one of the following statements is always true? a)
arcsin
x
<
arcsin
y
and
arccos
x
<
arccos
y
\arcsin x<\arcsin y\text{ and }\arccos x<\arccos y
arcsin
x
<
arcsin
y
and
arccos
x
<
arccos
y
b)
arcsin
x
>
arcsin
y
and
arccos
x
<
arccos
y
\arcsin x>\arcsin y\text{ and }\arccos x<\arccos y
arcsin
x
>
arcsin
y
and
arccos
x
<
arccos
y
c)
arcsin
x
<
arcsin
y
and
arccos
x
>
arccos
y
\arcsin x<\arcsin y\text{ and }\arccos x>\arccos y
arcsin
x
<
arcsin
y
and
arccos
x
>
arccos
y
d)
arcsin
x
>
arcsin
y
and
arccos
x
>
arccos
y
\arcsin x>\arcsin y\text{ and }\arccos x>\arccos y
arcsin
x
>
arcsin
y
and
arccos
x
>
arccos
y
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