Question icon
IIT JEE Entrance Exam

let f(x)= cos([π2]x) + cos([-π2]x) + [e] + [-π],
where [.] is the gretest integer function, then -:
(A) f(π/2) = 5
(B) f(π) = 7
(C) f(-π) = 6
(D) f(π/4) = 8
Ans are option (A) & (C)
but how.? i cant get the approch. how to do it.?

Profile image of Trinmoy Saikia
11 Years agoGrade
Answers icon

1 Answer

Profile image of Nishant Vora
11 Years ago
Hello Student, please find the soln
2]=9
[-π2]= -10
[e]= 2
[-π]= -4
Now equation becomes
f(x)= cos9x + cos(-10x) + 2 – 4
Now you can check the options.

____________________________________________________________________________________________________________________________________________________________________________