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

If sinx+cosxsinxcosx+sinxcosxsinx+cosx=msec2xtan2x1. Find m

Open in App
Solution

Consider LHS
=(sinx+cosx)2+(sinxcosx)2(sinxcosx)(sinx+cosx)
=sin2x+cos2x+2sinxcosx+sin2x+cos2x2sinxcosxsin2xcos2x
=2(sin2x+cos2x)sin2xcos2x =2sin2xcos2x(1)
Now consider RHS
=m(1cos2x)sin2xcos2x1
=msin2xcos2x(2)
Equating (1) & (2)
m=2

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