The function fx-cos-x isA- periodic with period 2 -B- periodic with period 4 -2C- not a periodic functionD- periodic with period 2 -

The correct option is C not a periodic functionTry drawing cos√(x) graph. It’s not periodic. ...

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Periodic Function

The function ...

Question

The function $f (x) = c o s \sqrt{x}$ is

periodic with period

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periodic with period

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periodic with period

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not a periodic function

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Solution

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f (x) = c o s \sqrt{x}

f (x) = x - [x]

f (x) = x - [x]

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} cos x 0 \leq x < \frac{π}{2} {(\frac{π}{2} - x)}^{2} \frac{π}{2} \leq x < π \end{matrix}

π

f (x) = | sin 4 x | + | cos 2 x |

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