, where denotes the greatest integer function, has fundamental period…

MATHEMATICS · Single correct

Problem

f(x)=\sin\left(2\sqrt{\lfloor a\rfloor}\,x\right)

, where

\lfloor\cdot\rfloor

denotes the greatest integer function, has fundamental period

\pi

for (a)

a=\frac{3}{2}

(b)

a=\frac{3}{4}

(c)

a=\frac{2}{3}

(d)

a=\frac{4}{5}