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Byju's Answer
Standard XII
Mathematics
Point of Inflection
The period of...
Question
The period of the function
f
(
x
)
=
3
tan
(
x
3
+
π
2
)
=
A
2
π
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B
3
π
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C
π
3
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Solution
The correct option is
B
3
π
Given:
f
(
x
)
=
3
tan
(
x
3
+
π
2
)
Now, consider a function
g
(
x
)
=
tan
x
⇒
f
(
x
)
=
a
g
(
b
x
+
c
)
,
where
a
=
3
,
b
=
1
3
,
c
=
π
2
Now, period of
g
(
x
)
is
T
=
π
Thus, Period of
f
(
x
)
will be
T
|
b
|
=
π
1
/
3
=
3
π
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