CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The length of the longest interval in which the function 3sinx4sin3x is increasing is

A
π3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
π2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3π2
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 A π3
3sinxsin3x=sin3x
Since sinx increases in [π2,π2]
Therefore sin3x increases in [π6,π6]
Therefore length of the interval=π3
Ans: A

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Ozone Layer
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon