1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $f(x)=\sin \left[\pi^2\right] x-\sin \left[-\pi^2\right] x$, where $[x]=$ greatest integer $\leq x$, then which of the following is not true?

A
$f(0)=0$
B
$f\left(\frac{\pi}{2}\right)=1$
C
$f\left(\frac{\pi}{4}\right)=1+\frac{1}{\sqrt{2}}$
D
$f(\pi)=-1$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0
Which of the following is not correct?
A
$\cos 5 \pi=\cos 4 \pi$
B
$\sin 2 \pi=\sin (-2 \pi)$
C
$\sin 4 \pi=\sin 6 \pi$
D
$\tan 45^{\circ}=\tan \left(-315^{\circ}\right)$
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0
If $\cos x+\cos ^2 x=1$, then the value of $\sin ^2 x+\sin ^4 x$ is
A
-1
B
1
C
0
D
2
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The mean deviation about the mean for the date $4,7,8,9,10,12,13,17$ is

A
10
B
3
C
8.5
D
4.03
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