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

If tanA−tanB=x and cotB−cotA=y then cot(A−B)=

A
1y1x
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1x1y
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1x+1y
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D 1x+1y
Solution:
We have, tanAtanB=x,cotBcotA=y
To find:
cot(AB)=?
Solution:
tanAtanB=x
or, 1cotA1cotB=x
or, cotBcotAcotAcotB=x
or, cotAcotB=yx
Now, cot(AB)=cotAcotB+1cotBcotA
=yx+1y [From above]
=1x+1y
Hence, C is the correct option.

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