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

If f(x)=cos[π2]x+cos([π2]x), where [.] denotes the step function, then

A
f(0)=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
f(π4)=2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
f(π2)=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
f(π)=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C f(π2)=1
π2=9.87

9<π2<10 and 10<π2<9

[π2]=9 and [π2]=10

f(x)=cos9x+cos10x

f(0)=1+1=2

f(π4)=cos9×π4+cos10×π4

f(π4)=12

f(π2)=cos9×π2+cos10×π2

f(π2)=1

f(π)=0

Hence, option 'C' is correct.

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