NIMCET 2024 Paper

Section: Mathematics

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Question : 47 of 120

Marks: +1, -0

If

f(x)=\cos π^2 x+\cos [-π^2 x.

, where [.] stands for the greatest integer function, then

f (\;{π}/{2})

is:

-1
0
1
2

Solution:

Since

π^2 ≈ 9.8

, hence

π^2=9

and

[-π^2=-10.

The given question is

\cos 9 x+\cos (-10 x)

\;\cos 9 x+\cos (10 x)

\;f (\;{π}/{2}) =\cos \;{9 π}/{2}+\cos \;{10 π}/{2}=-1

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