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Mathematics
Mathematics
Problem
Statement I
The period of
f
(
x
)
=
2
cos
1
3
(
x
−
π
)
+
4
sin
1
3
(
x
−
π
)
is
3
π
.
f(x) = 2 \cos \frac{1}{3}(x - \pi) + 4 \sin \frac{1}{3}(x - \pi) \text{ is } 3\pi.
f
(
x
)
=
2
cos
3
1
(
x
−
π
)
+
4
sin
3
1
(
x
−
π
)
is
3
π
.
Statement II
If
T
T
T
is the period of
f
(
x
)
f(x)
f
(
x
)
, then the period of
f
(
a
x
+
b
)
f(ax + b)
f
(
a
x
+
b
)
is
T
∣
a
∣
\frac{T}{|a|}
∣
a
∣
T
.
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