The period of the function f x -cos 8x-54 -

The correct option is C π^2 f(x)=cos ( 8x+54 π )=cos ( 2xπ+54 π ) Period = 2 π2/ π=π^2 ...

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Standard XII

Mathematics

Composition of Inverse Trigonometric Functions and Trigonometric Functions

The period of...

Question

The period of the function $f (x) = cos (\frac{8 x + 5}{4 π})$

2 π

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π

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π^{2}

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None of these

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Solution

The correct option is C $π^{2}$
$f (x) = cos (\frac{8 x + 5}{4 π}) = cos (\frac{2 x}{π} + \frac{5}{4 π})$
Period $= \frac{2 π}{2 / π} = π^{2}$

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The period of the function f(x)=cos(8x+54π)

The correct option is C π2f(x)=cos(8x+54π)=cos(2xπ+54π)Period =2π2/π=π2

The period of the function $f (x) = cos (\frac{8 x + 5}{4 π})$

The correct option is C $π^{2}$
$f (x) = cos (\frac{8 x + 5}{4 π}) = cos (\frac{2 x}{π} + \frac{5}{4 π})$
Period $= \frac{2 π}{2 / π} = π^{2}$