wiz-icon
MyQuestionIcon
MyQuestionIcon
5
You visited us 5 times! Enjoying our articles? Unlock Full Access!
Question

If y=cos2(45+x)+(sinxcosx)2, where x(0,π2], then the possible value(s) of y is/are

A
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 1
cos2(45+x)+(sinxcosx)2=(cos45cosxsin45sinx)2+(1sin2x)
=[cosx2sinx2]2+(1sin2x)=(1sin2x)2+(1sin2x)
=32(1sin2x)
As,
0<xπ20<2xπ0sin2x10sin2x11sin2x001sin2x1032(1sin2x)32y[0,32]

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