If f x -cos - x -cos - x - where - y - is the greatest integer function of y then f - - 2- - Explain with steps please

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if f x =cos [...

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if f(x)=cos [π]x+cos[πx] where [y] is the greatest integer function of y then f(π/2)=? Explain with steps please

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f (x) = cos [π] x + cos [π x],

[y]

y

f (\frac{π}{2})

f (x) = 2 [x] + cos ([- π] x)

[.]

If, $f (x) = c o s [π^{2}] x + c o s [- π^{2}] x,$ where [x] stands for greatest integer function, then

f (x) = c o x [π^{2}] x + cos [- π^{2}] x,

[x]

f (\frac{π}{2})

f (π)

f (x) = 2 [x] + cos ([- π] x)

[.]

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