If $f\left(x\right)=\cos \left[{\pi }^2\right]x+\cos [-{\pi }^2]x$, where $\left[x\right]$ denotes the greatest integer less than or equal to x, then write the value of $f\left(\pi \right)$.

Q. If f(x) = sin [π²] x + sin [−π]² 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

Q.

If $f\left(x\right)=sin\left[{\pi }^2\right]x+sin[-\pi {]}^{2}x$, where [x] denotes teh greatest integer less than or equal to x, then,

Q. Write the range of the function f(x) = cos [x], where $\frac{-\mathrm{\pi }}{2}<x<\frac{\mathrm{\pi }}{2}$.

Q. Let $f\left(x\right)=cox\left[{\pi }^2\right]x+\cos \left[-{\pi }^2\right]x,$ where $\left[x\right]$ is the greatest integer function, then find$f\left(\frac{\pi }{2}\right)$ and $f\left(\pi \right)$

Q. If $f\left(x\right)=\cos \left[\frac{{\pi }^2}{2}\right]x+\cos [-\frac{{\pi }^2}{2}]x$, where $[.]$ denotes the greatest integer function, then which of the following is not correct