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

The value of x for which sin(cot1(1+x))=cos(tan1x) is:

A
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is B 12
We have, sin(cot1(1+x))=cos(tan1x)
cos(π2cot1(x+1))=cos(tan1x)
π2cot1(x+1)=2nπ±tan1x
Substitute n=0π2cot1(x+1)=±tan1x=tan1(±x)
π2=tan1(±x)+cot1(x+1)
x+1=±x2x+1=0x=12

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 5
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon