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CUET
-- Mathematics - Section B1
Relations and Functions
If $f(x)=\cos[π]x+\cos[πx]$ where [y] is the greatest integer function of y, then $f(\frac{π}{2})$ is equal to
$\cos 3$
0
$\cos 4$
none of these
$f(\frac{π}{2})=\cos[π].\frac{π}{2}+\cos[π.\frac{π}{2}]=\cos\frac{3π}{2}+\cos 4=\cos 4$