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    ​All trigonometric functions are periodic. What is the period of cos x ?​
    Question

    All trigonometric functions are periodic. What is the period of cos x ?

    A.

    π

    B.

    π2\frac{π}{2}​​

    C.

    D.

    π3\frac{π}{3}​​

    Correct option is C

    Given:

    To find ; the period of cos x

    Solution:

    The cosine function cos x is periodic, meaning it repeats its values at regular intervals. 

    The cosine function  cos x completes one full cycle as x increases from 0 to 2π. Therefore:

    cos(x+2π)=cosx\cos(x + 2\pi) = \cos x 

    Thus, the period of cosine is 2π.​

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