Q. 30

Mark the correct alternative in the following:

If f(x) = sin [π2] x + sin [-π2] x, where [x] denotes the greatest integer less than or equal to x, then

A. f (π /2) = 1

B. f(π) = 2

C. f (π /4) = - 1

D. None of these

Answer :


[]=9 and [-]=-10


Now, f(x)=sin[π2 ] x + sin[-π2]x


=sin 9x-sin 10x


Now, checking values of f(x) at given points..



=1-0


=1


Option A is correct..


f(π)=sin 9π-sin 10π


=0-0


=0




Option B & C are incorrect..

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