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What is the period of \sin x/2 + \cos 2x ?

  • Option 1)

    \pi

  • Option 2)

    2\pi

  • Option 3)

    4 \pi

  • Option 4)

    8 \pi

 

Answers (1)

best_answer

As we have learned

Period of a Trigonometric Ratio -

Period of \sin x and \cos x is 2\pi

- wherein

\sin \left ( 2n\pi + x \right ) = \sin x

\cos \left ( 2n\pi + x \right ) = \cos x

 

 

period of   \sin x/2   is  4 \pi

period of   \cos 2x \; \; is\; \; 2\pi /2 = \pi

Thus period = 4 \pi

 

 

 

 

 


Option 1)

\pi

Option 2)

2\pi

Option 3)

4 \pi

Option 4)

8 \pi

Posted by

Himanshu

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