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let f(x)= cos([ π 2 ]x) + cos([- π 2 ]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.?

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.?
 

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1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
9 years ago
Hello Student, please find the soln
[π2]=9
[-π2]= -10
[e]= 2
[-π]= -4
Now equation becomes
f(x)= cos9x + cos(-10x) + 2 – 4
Now you can check the options.

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