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

Let α,β (α>β) be the roots of the equation sin1x1sin1x=cos1x1cos1x. Then

A
α=12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
β=12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
sin1α=π3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
sin1β=π41+π216
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A α=12
D sin1β=π41+π216
sin1x1sin1x=cos1x1cos1xsin1xcos1x+1cos1x1sin1x=0(sin1xcos1x)(1+1cos1xsin1x)=0(sin1xcos1x)(sin1xcos1x+1)(sin1x)(cos1x)=0sin1x=cos1x
sin1x=π2sin1xsin1x=π4x=12
or
sin1xcos1x+1=0sin1x(π2sin1x)+1=0(sin1x)2π2(sin1x)1=0sin1x=π2±(π24+4)2sin1x=π4(1+π216)

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 5
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon