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

Find maximum value of x for which 2tan1x+cos1(1x21+x2) is independent of x.

A
\N
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A \N
Let x=tanθ,π2<θ<π22θ+cos1cos2θ
(i)02θ<π2.2cos1cos2θ=2θ
So given expression =4θ=4tan1x
(ii)π2<θ0π<2θ0cos1cos2θ=2θ
So, given expression becomes independent of θ
For π2<θ0<x0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Inverse Trigonometric Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon