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Mathematics
Mathematics
Problem
If
f
(
x
)
=
cos
−
1
(
cos
(
x
+
1
)
)
f(x) = \cos^{-1}(\cos(x+1))
f
(
x
)
=
cos
−
1
(
cos
(
x
+
1
))
and
g
(
x
)
=
sin
−
1
(
sin
(
x
+
2
)
)
g(x) = \sin^{-1}(\sin(x+2))
g
(
x
)
=
sin
−
1
(
sin
(
x
+
2
))
, then a.
f
(
1
)
+
g
(
1
)
=
(
π
−
1
)
f(1) + g(1) = (\pi - 1)
f
(
1
)
+
g
(
1
)
=
(
π
−
1
)
b.
f
(
1
)
>
g
(
1
)
f(1) > g(1)
f
(
1
)
>
g
(
1
)
c.
f
(
2
)
>
g
(
2
)
f(2) > g(2)
f
(
2
)
>
g
(
2
)
d.
f
(
2
)
<
g
(
2
)
f(2) < g(2)
f
(
2
)
<
g
(
2
)
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