1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Period of Trigonometric Ratios
The period of...
Question
The period of the function
f
(
x
)
=
2
cos
x
π
3
is
A
6
π
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4
π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
D
6
π
∵
period of
cos
x
is
2
π
∴
period of
2
cos
1
3
(
x
−
π
)
is =
2
π
1
/
3
=
6
π
Suggest Corrections
0
Similar questions
Q.
The period of the function f(x) = sin 3x is
Q.
The fundamental period of the function
f
(
x
)
=
2
c
o
s
1
3
(
x
−
π
)
is
Q.
If
f
(
x
)
is an integrable function in
(
π
6
,
π
3
)
and
I
1
=
∫
π
/
3
π
/
6
sec
2
x
f
(
2
sin
2
x
)
d
x
and
I
2
=
∫
π
/
3
π
/
6
c
o
sec
2
x
f
(
2
sin
2
x
)
d
x
,
then:
Q.
The value of
sec
2
π
7
+
sec
4
π
7
+
sec
6
π
7
is
Q.
If
f
(
x
)
=
sin
x
,
∀
x
∈
[
0
,
π
2
]
,
f
(
x
)
+
f
(
π
−
x
)
=
2
,
∀
x
(
π
2
,
π
]
and
f
(
x
)
=
f
(
2
π
−
x
)
,
∀
x
∈
(
π
,
2
π
)
, then the area enclosed by
y
=
f
(
x
)
and x-axis is
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Graphs of Trigonometric Functions
MATHEMATICS
Watch in App
Explore more
Period of Trigonometric Ratios
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app