wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The range of the function
f(x)=log5(3+cos(3π4+x)+cos(π4+x)+cos(π4x)cos(3π4x))
is

A
[0,2]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
[2,2]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(0,5)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
[15,5]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A [0,2]
f(x)=log5(3+2sin(3π4)sin(x)+2cos(π4)cos(x))
=log5(3+2(cosxsinx))
Range of cosxsinx is [2,2]
Then range of f(x) is [0,2]

flag
Suggest Corrections
thumbs-up
75
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 5
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon