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

If y=tan−1(cotx)+cot−1(tanx), then dydx is equal to-

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 2
ddx(tan1(cot(x))+cot1(tan(x)))
=ddx(tan1(cot(x)))+ddx(cot1(tan(x)))
=csc2(x)cot2(x)+1sec2(x)tan2(x)+1
=2csc2(x)sec2(x)(tan2(x)+1)(cot2(x)+1)=2csc2(x)sec2(x)csc2(x)sec2(x)=2

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