wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

If sin α=15 and sin β=35, then βα lies in the interval

A

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

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

The correct options are
A

C

We have sin α=15cos α=25
and sin β=35cos β=45
sin(βα)=sin β cos αsin α cos β
35.2515.45=255=0.1789
Now sinπ4=12=0.7071=sin3π4
Since 0 < 0.1789 < 0.7071
sin0 < sin(βα) < sinπ40 < (βα) < π4
Also, sin π < sin(βα) < sin3π4
(βα)ϵ[0,π4] and [3π4,π].


flag
Suggest Corrections
thumbs-up
27
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Compound Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon