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

Let 0<x<π4, then the value of (sec2xtan2x) is

A
tan(xπ4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
tan(π4x)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
tan(x+π4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
tan2(x+π4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B tan(π4x)
sec2xtan2x=1sin2xcos2x=12sinxcosxcos2xsin2x=(cosxsinx)2(cosxsinx)(cosx+sinx)=cosxsinxcosx+sinx(cosxsinxcosxsinx0)=1tanx1+tanx(cosx0)
=tan(π4x)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon