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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
sin
−
1
x
+
cos
−
1
x
f(x) = \sin^{-1} x + \cos^{-1} x
f
(
x
)
=
sin
−
1
x
+
cos
−
1
x
. Then
π
2
\frac{\pi}{2}
2
π
is equal to a.
f
(
−
1
2
)
f\left(-\frac{1}{2}\right)
f
(
−
2
1
)
b.
f
(
k
2
−
2
k
+
3
)
,
k
∈
R
f(k^2 - 2k + 3), k \in R
f
(
k
2
−
2
k
+
3
)
,
k
∈
R
c.
f
(
1
1
+
k
2
)
,
k
∈
R
f\left(\frac{1}{1+k^2}\right), k \in R
f
(
1
+
k
2
1
)
,
k
∈
R
d.
f
(
−
2
)
f(-2)
f
(
−
2
)
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